- Type of paper
: Paper in journal
Title: Biplanes and their automorphisms
- Authors:
- Ćepulić, Vladimir (8712)
- Essert, Mario (73841)
Journal: Studia Scientiarum Mathematicarum Hungarica
ISSN: 0081-6906
Volume: 24
Year: 1989
Pages: from 437 to 446
Number of references: 6
Language: engleski
Summary: Biplanes (56,11,2) admitting an automorphism of order 8
whichfixes 4 points are classified in the article. Every such biplaneis
isomorphic either to the Hall biplane or to a Dennistonbiplane.
Keywords: biplane, automorphism, chain representation
- Type of paper
: Paper in journal
Title: The classification of projective planes of order 13 which
possess an involution
- Authors:
- Matulić-Bedenić, Ida (29864)
Journal: Rad HAZU, Matematičke znanosti
Number: 10
ISSN: 1330-0814
Volume: 456
Year: 1991
Pages: from 9 to 13
Number of references: 3
Language: engleski
Summary: In this paper, the following theorem is proved: If a
projectiveplane of order n=13 possesses an involutory collineation, then
itis isomorphic to the Desarguesian plane.
Keywords: semi-biplane, collineation, Desarguesian plane
- Type of paper
: Paper in journal
Title: How to overcome the combinatorial Explosion in the
Construction of the Block Design
- Authors:
- Essert, Mario (73841)
Journal: Journal of Computing and Information Technology
Number: 1
ISSN: 1330-1136
Volume: 2
Year: 1994
Pages: from 9 to 13
Number of references: 2
Language: engleski
Summary: The article describes a method of overcoming some
difficulties regarding the computer memory and time requirements in the
process of constructing symmetric block designs. It has been applied on the
case of (71,21,6)-block designs admitting the Frobenius group of order 21.
Keywords: symmetric block design, orbit structure, indexing, vectors
- Type of paper
: Paper in journal
Title: Classification of (78,22,6) designs having the full
automorphism group E8*F21
- Authors:
- Pfaff, Slavka (79103)
Journal: Glasnik Matematički
Number: 48
ISSN: 0017-095X
Volume: 28
Year: 1993
Pages: from 3 to 9
Number of references: 6
Language: engleski
Summary: Two mutually dual designs (78,22,6) having a full
automorphism group isomorphic to E8*F21 have been constructed by
V.D.Tonchev. Here it is shown that these are (up to isomorphism) the only
(78,22,6) designs with such an automorphism group.
Keywords: symmetric design, automorphism, orbit structure, coset representation
- Type of paper
: Paper in journal
Title: Non-existence of a biplane (121,16,2) with the
automorphism group A5
- Authors:
- Pfaff, Slavka (79103)
Journal: Glasnik Matematički
Number: 49
ISSN: 0017-095X
Volume: 29
Year: 1994
Pages: from 9 to 15
Number of references: 6
Language: engleski
Summary: No biplane (121,16,2) has ever been found. It is shown that
A5 cannot operate on such a symmetric design.
Keywords: symmetric design, biplane, automorphism, orbit structure, coset representation
- Type of paper
: Paper in journal
Title: On the nonexistence of symmetric block designs (81,16,3)
with involutory homology
- Authors:
- Marangunić, Ljubo (28104)
- Ćepulić, Vladimir (8712)
Journal: Glasnik Matematički
Number: 49
ISSN: 0017-095X
Volume: 29
Year: 1994
Pages: from 205 to 212
Number of references: 4
Language: engleski
Summary: It is shown that (81,16,3)-symmetric block design admitting
involutory homology does not exist.
Keywords: symmetric block design, automorphism group, involutory homology, orbital structure
- Type of paper
: Paper in journal
Title: On symmetric block designs (81,16,3) with involutory
automorphisms fixing 17 points
- Authors:
- Marangunić, Ljubo (28104)
Journal: Glasnik Matematički
Number: 50
ISSN: 0017-095X
Volume: 30
Year: 1995
Pages: from 9 to 16
Number of references: 4
Language: engleski
Summary: It is shown that an involuntory automorphism acting on
(81,16,3)-design cannot fix 17 points.
Keywords: symmetric block design, fixed structure, orbit structure, involution, automorphism
- Type of paper
: Paper in journal
Title: On symmetric block designs (45,12,3) with automorphisms of
order 5
- Authors:
- Ćepulić, Vladimir (8712)
Journal: Ars Combinatoria
ISSN: 0381-7032
Volume: 37
Year: 1994
Pages: from 33 to 48
Number of references: 5
Language: engleski
Summary: There are, up to isomorphism, exactly 13 symmetric block
designs (45,12,3). Among them, 11 are self dual and the remaining two are
mutually dual.
Keywords: symmetric block design, automorphism, isomorphism, duality, self duality, orbit structure
- Type of paper
: Paper in journal
Title: Elementary abelian 2-groups acting on biplanes (121,16,2)
- Authors:
- Ćepulić, Vladimir (8712)
Journal: Glasnik Matematički
Number: 49
ISSN: 0017-095X
Volume: 29
Year: 1994
Pages: from 1 to 7
Number of references: 4
Language: engleski
Summary: The possible actions of elementary abelian 2-groups on
hypothetical biplanes (121,16,2) have been investigated and uniquely
determined.
Keywords: biplane, involution, automorphism group, orbit
- Type of paper
: Paper in journal
Title: Triplanes for (71,15,3) admitting a solvable group of
order 168 acting non-semistandardly
- Authors:
- Garapić, Mirjana (13096)
Journal: Glasnik Matematički
Number: 49
ISSN: 0017-095X
Volume: 29
Year: 1994
Pages: from 17 to 24
Number of references: 9
Language: engleski
Summary: Triplanes for (71,15,3) admitting an automorphism group
Gč=E8xF21, acting non-semistandardly, have been investigated. Here E8xF21
is a faithful extension of an elementary abelian group E21 of order 21. It
is shown by efficient methods, that exactly six such triplanes exist
together with their duals. They are non-self-dual. One of these pairs of
triplanes has not been known so far.
Keywords: symmetric design, automorphism group, orbit structure, classification
- Type of paper
: Paper in journal
Title: The non-existence of symmetric designs for (81,16,3)
having A5 as an automorphism group
- Authors:
- Garapić, Mirjana (13096)
Journal: Glasnik Matematički
Number: 50
ISSN: 0017-095X
Volume: 30
Year: 1995
Pages: from 3 to 8
Number of references: 5
Language: engleski
Summary: Some restrictions of the action of prime order subgroups of
the alternating group G=A5 operating on triplanes for (81,16,3) are proved.
Then it was shown that G cannot act on a triplane possessing such
parameters.
Keywords: symmetric design, automorphism group, orbit structure, fixed structure
- Type of paper
: Ph.D.
Title: Construction of some new triplanes.
Faculty: Prirodoslovno-matematički Sveučilite u Zagrebu
Author: GARAPIĆ MIRJANA
Date of defense: 04/02/93
Language: hrvatski
Number of pages: 95
Summary: It is shown that a triplane (81,16,3) does not admit
anautomorphism group isomorphic to alternating group of degree 5.The
triplanes (71,15,3) with automorphism groups isomorphic tothe semidirect
product of an elementary abelian group of order 8and a Frobenius group of
order 21 are constructed. It has beenproved that there are 9 non-isomorphic
such triplanes. One ofthem is selfdual and the others are pairwise dual.
Keywords: incidence structure, symmetric block design, 3-plane, automorphism group, frobenius group, permutation representation, orbital structure, design isomorphism
- Type of paper
: Ph.D.
Title: Investigation of the existence of symmetric block designs
(121,16,2) and (78,22,6)
Faculty: Prirodoslovno-matematički Sveučilite u Zagrebu
Author: PFAFF SLAVKA
Date of defense: 04/14/92
Language: hrvatski
Number of pages: 77
Summary: The existence of a design (121,16,2) admitting an
automorphismgroup isomorphic to alternating group of degree 5 has
beeninvestigated. It is proved that such a design does not exist.
The full classification of symmetric block designs (78,22,6) withan
automorphism group isomorphic to the semidirect product of theelementary
abelian group of order 8 with the Frobenius group oforder 21 is carried
out. It was found out that there are exactlytwo non-isomorphic designs of
this type, which are mutually dual.
Keywords: symmetric block design, automorphism group, orbital structure, fixed structure, orbit representative, isomorphism of designs, permutation representation
- Type of paper
: Ph.D.
Title: Automorphisms and construction of triplanes
Faculty: Prirodoslovno-matematički Sveučilite u Zagrebu
Author: MANDEKIĆ-BOTTERI VINKO
Date of defense: 05/31/95
Language: hrvatski
Number of pages: 120
Summary: The action of involutions and the construction of the
correspondent orbital structures for triplanes have been investigated. The
examination of the consistency of the alreacy built parts of structures,
which have maximal or minimal density regarding some points with the part
of structure not yet constructed, proved to be a very efficient method in
solving this problem. Moreover, all the triplanes (45,12,3) admitting an
action of involution with maximal number of fixed points (15) have been
classified.
Keywords: involution, triplane, orbital structure, fixed structure, consistency, extremal density, indexing, automorphism, isomorphism, duality
- Type of paper
: M.A.
Title: Construction of symmetric block designs admitting
automorphisms of order 5
Faculty: Prirodoslovno-matematički Sveučilite u Zagrebu
Author: PAVČEVIĆ-OSVIN MARIO
Date of defense: 08/28/95
Language: hrvatski
Number of pages: 93
Summary: The method of construction of symmetric block designs by
finding all orbit structures and indexing them is being improved by
introducing the index type matrices. They describe nearer the possible
subsets of index sets. The method is shown on all symmetric designs of
order less than 7.
Keywords: symmetric block design, automorphism, orbit structure, indexing, index type matrix
- Type of paper
: Manuscript
Title: On symmetric block designs (45,12,3) with automorphsisms
of order 11
- Authors:
- Ćepulić, Vladimir (8712)
Language: engleski
Summary: There is, up to isomorphism, only one symmetric block
design(45,12,3) admitting an automorphism of order 11. Its fullautomorphism
group is just of order 11.
Keywords: symmetric block design, automorphism group, orbital structure
Other: Članak je prihvaćen za objavljivanje u časopisu Geometriae
Dedicata.
- Type of paper
: Manuscript
Title: Symmetric block designs (31,10,3) with involutory
automorphisms
- Authors:
- Ćepulić, Vladimir (8712)
- Marangunić, Ljubo (28104)
Language: engleski
Summary: In this paper, the symmetric block designs (31,10,3)
admittinginvolutory automorphism have been classified. Among the 6obtained
solutions there are 2 self-dual ones, and 2 pairs ofsolutions are dually
isomorphic. The full automorphism groups ofthe obtained designs have been
determined.
Keywords: symmetric block design, fixed point, fixed structure, orbital structure, involution, automorphism, isomorphism, dual isomorphism
Other: Članak je prihvaćen za objavljivanje u časopisu Radovi
Matematički.
- Type of paper
: Manuscript
Title: On infinite series of biplanes of order n=/2 prime number
with Frobenius group F(n(n-1))
- Authors:
- Horvatić-Baldasar, Ksenija (16123)
- Matulić-Bedenić, Ida (29864)
Language: engleski
Summary: In this paper, the existence of the infinite series of
biplanesof odd prime order n, admitting the Frobenius group of ordern(n-1),
has been investigated.
Keywords: block design, automorphism, orbital structure, biplane
Other: Članak je prihvaćen za objavljivanje u časopisu Rad
HAZU,Matematičke znanosti.
- Type of paper
: Manuscript
Title: On involutions acting on (81,16,3)-symmetric block designs
- Authors:
- Marangunić, Ljubo (28104)
Language: engleski
Summary: It is proved that (81,16,3)-block designs have no
involutoryautomorphisms that fix just 13 points. Since the non-existence
of(81,16,3)-designs with involutory automorphism fixing 17 pointshas
already been proved, it follows that any involution of(81,16,3)-design
must fix just 9 points.
Keywords: symmetric block design, fixed point, fixed structure, orbital structure, involution, automorphism, isomorphism
Other: Članak je prihvaćen za objavljivanje u časopisu Ars
Combinatoria.
- Type of paper
: Manuscript
Title: On biplanes (154,18,2) admitting a chain representation
with all chains of length 3
- Authors:
- Ćepulić, Vladimir (8712)
Language: engleski
Summary: Let D be a biplane (154,18,2) admitting a chain
representationwith all chains of length 3 for some basic point P. Then
eachinvolution of D fixing P must fix either 10 or 14 points.
Keywords: biplane, chain representation, involution, basic point
Other: Članak je prihvaćen za objavljivanje u časopisu Punime
Matematike4 (1991). Navodno je dotični svezak i objavljen, ali ga je u
Prishtini zaplijenila policija.
- Type of paper
: Manuscript
Title: On (85,28,9)-designs
- Authors:
- Horvatić-Baldasar, Ksenija (16123)
- Matulić-Bedenić, Ida (29864)
- Kramer, Erika (23301)
Language: engleski
Summary: In this paper it is proved that there does not exist a
symmetricblock design (85,28,9) admitting the cyclic group of order 14
asautomorphism group.
Keywords: symmetric block design, automorphism group
Other: Članak je prihvaćen za objavljivanje u časopisu Punime
Matematike4 (1991). Navodno je dotični svezak i objavljen, ali je veći
dionaklade u Prishtini zaplijenila policija.
- Type of paper
: Manuscript
Title: Symmetric designs for (79,27,9) with an elation
- Authors:
- Pfaff, Slavka (79103)
Language: engleski
Summary: Symmetric designs for (79,29,9) with an automorphism group
isomorfic to F39xD8 are constructed and classified.
Keywords: symmetric design, automorphism, orbit structure
- Type of paper
: Manuscript
Title: Biplanes (56,11,2) with involutory automorphisms acting
fixed-points-free
- Authors:
- Marangunić, Ljubo (28104)
Language: engleski
Keywords: symmetric design, automorphism group, orbital structure
Other: Članak je poslan na recenziju u Journal of Combinatorial
Theory.
- Type of paper
: Manuscript
Title: Construction of new symmetric designs with parameters
(66,26,10)
- Authors:
- Matulić-Bedenić, Ida (29864)
- Horvatić-Baldasar, Ksenija (16123)
- Kramer, Erika (23301)
Language: engleski
Keywords: symmetric design, Frobenius Group
Other: Članak je prihvaćen za objavljivanje u časopisu Journal of
Combinatorial Designs.
- Type of paper
: Manuscript
Title: On possible infinite series of symmetric block-designs
with parameters (9lambda+4,3lambda+1,lambda)
- Authors:
- Horvatić-Baldasar, Ksenija (16123)
- Matulić-Bedenić, Ida (29864)
- Mandekić-Botteri, Vinko (4932)
Language: engleski
Keywords: symmetric block-design, orbit structure, infinite series
- Type of paper
: Manuscript
Title: Some new symmetric designs with parameters (64,28,12)
- Authors:
- Pavčević, Mario-Osvin
Language: engleski
Keywords: symmetric design, Menon series, orbit structure, indexing
Other: Članak je poslan radi objavljivanja u Journal of
Combinatorial Designs u svibnju 1995.
- Type of paper
: Manuscript
Title: Symmetric (100,45,20)-designs admitting the operation of
the Frobenius group of order 55
- Authors:
- Pavčević, Mario-Osvin
Language: engleski
Keywords: symmetric design, Frobenius group, orbit structure, indexing
- Type of paper
: Manuscript
Title: On symmetric block designs (40,13,4) with automorphisms of
order 13
- Authors:
- Ćepulić, Vladimir (8712)
Language: engleski
Other: Članak je predan na recenziju u časopis Glasnik Matematički.
- Type of paper
: Manuscript
Title: The unique symmetric block design (49,16,5) admitting an
automorphism of order 7
- Authors:
- Ćepulić, Vladimir (8712)
Language: engleski
Other: Članak je predan na recenziju u časopis Journal of
Combinatorial Designs.
- Type of paper
: Manuscript
Title: The unique symmetric block design (61,16,4) admitting an
automorphism of order 15 operating standardly
- Authors:
- Ćepulić, Vladimir (8712)
Language: engleski
Other: Članak je predan na recenziju u časopis Discrete Mathematics.
- Type of paper
: Manuscript
Title: Symmetric block designs (61,16,4) admitting an
automorphism of order 15
- Authors:
- Ćepulić, Vladimir (8712)
Language: engleski
Other: Članak je predan na recenziju u časopis Journal of
Combinatorial Designs.
- Type of paper
: Manuscript
Title: Symmetric block designs (45,12,3) with involutory homology
- Authors:
- Ćepulić, Vladimir (8712)
Language: engleski
Other: Članak je predan na recenziju u časopis Ars Combinatoria.
- Type of paper
: Manuscript
Title: Biplanes (56,11,2) with involutory automorphism fixing 14
points
- Authors:
- Ćepulić, Vladimir (8712)
- Essert, Mario (73841)
Language: engleski
Other: Članak je predan na recenziju u časopis Glasnik Matematički.
- Type of paper
: Manuscript
Title: Biplanes (56,11,2) admitting involutory automorphisms
fixing some point
- Authors:
- Ćepulić, Vladimir (8712)
- Essert, Mario (73841)
Language: engleski
Other: Članak je predan na recenziju u časopis Journal of
Combinatorial Theory.
- Type of paper
: Manuscript
Title: On biplanes (56,11,2) with automorphism groups of order
four
- Authors:
- Ćepulić, Vladimir (8712)
Language: engleski
Other: Članak je predan na recenziju u časopis Glasnik Matematički.
- Type of paper
: Manuscript
Title: Some identities for binomial coefficients and factorials
- Authors:
- Mandekić-Botteri, Vinko (4932)
- Svrtan, D.
Language: engleski
Keywords: binomial coefficients, factorials, prime numbers, sum, generating function
- Type of paper
: Manuscript
Title: Symmetric block designs (45,12,3) admitting an involution
with maximal number of fixed points
- Authors:
- Ćepulić, Vladimir (8712)
- Mandekić-Botteri, Vinko (4932)
Language: engleski
Keywords: symmetric block design, orbit structure, fixed structure, isomorphism, automorphism, involution
