Results 11 to 20 of about 497 (36)
Almost simple groups with socle $L_n(q)$ acting on Steiner quadruple systems [PDF]
, 2009 Let $N=L_n(q)$, {$n \geq 2$}, $q$ a prime power, be a projective linear simple group. We classify all Steiner quadruple systems admitting a group $G$ with $N \leq G \leq \Aut(N)$.
Barrau +11 more
core +3 more sources
A characterization of the desarguesian planes of order q2 by SL(2, q)
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 605-608, 1983., 1983 The main result is that if the translation complement of a translation plane of order q2 contains a group isomorphic to SL(2, q) and if the subgroups of order q are elations (shears), then the plane is Desarguesian. This generalizes earlier work of Walker, who assumed that the kernel of the plane contained GF(q).
D. A. Foulser +2 more
wiley +1 more source
Translation planes of even order in which the dimension has only one odd factor
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 4, Page 675-694, 1980., 1980 Let G be an irreducible subgroup of the linear translation complement of a finite translation plane of order qd where q is a power of 2. GF(q) is in the kernel and d = 2sr where r is an odd prime. A prime factor of |G| must divide . One possibility (there are no known examples) is that G has a normal subgroup W which is a W‐group for some prime W.
T. G. Ostrom
wiley +1 more source
Galois reconstruction of finite quantum groups [PDF]
, 1999 We describe a universal factorization for a functor with values in finite-dimensional measured algebras. More precisely we contruct the quantum automorphism group of this functor.
Bichon, Julien
core +3 more sources
Translation planes of odd order and odd dimension
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 187-208, 1979., 1979 The author considers one of the main problems in finite translation planes to be the identification of the abstract groups which can act as collineation groups and how those groups can act. The paper is concerned with the case where the plane is defined on a vector space of dimension 2d over GF(q), where q and d are odd.
T. G. Ostrom
wiley +1 more source
The four known biplanes with k = 11
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 251-260, 1979., 1979 The four known biplanes of order 9(k = 11) are described in terms of their ovals, λ‐chain structures, and automorphism groups. An exhaustive computer search for all biplanes of order 9 with certain chain structures has produced but two, one of which is new. None of these four biplanes yield the putative plane of order 10.
Chester J. Salwach, Joseph A. Mezzaroba
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 261-281, 1979., 1979 Elementary techniques of algebraic coding theory are here used to discuss the three biplanes with k = 6. These three designs are intimately related to the (16, 11) extended binary Hamming code and to one another; we systematically investigate these relationships. We also exhibit each of the three designs as difference sets.
E. F. Assmus, Jr, Chester J. Salwach
wiley +1 more source
A classification of finite homogeneous semilinear spaces [PDF]
, 2002 . A semilinear space S is homogeneous if, whenever the semilinear structures induced on two finite subsets S1 and S2 of S are isomorphic, there is at least one automorphism of S mapping S1 onto S2.
Communicated H. Van Maldeghem
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Quantum automorphisms of folded cube graphs [PDF]
, 2019 We show that the quantum automorphism group of the Clebsch graph is $SO_5^{-1}$. This answers a question by Banica, Bichon and Collins from 2007.
Schmidt, Simon
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Abelian Carter subgroups in finite permutation groups
, 2013 We show that a finite permutation group containing a regular abelian self-normalizing subgroup is soluble.Comment: 6 ...
Jabara, Enrico, Spiga, Pablo
core +1 more source