almost simple groups with socle $g_2(q)$ acting on finite linear spaces
Authors
abstract
after the classification of the flag-transitive linear spaces, the attention has been turned to line-transitive linear spaces. in this article, we present a partial classification of the finite linear spaces $mathcal s$ on which an almost simple group $g$ with the socle $g_2(q)$ acts line-transitively.
similar resources
Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces
After the classification of the flag-transitive linear spaces, the attention has been turned to line-transitive linear spaces. In this article, we present a partial classification of the finite linear spaces $mathcal S$ on which an almost simple group $G$ with the socle $G_2(q)$ acts line-transitively.
full textAlmost simple groups with socle Ln(q) acting on Steiner quadruple systems
Let N = Ln(q), n ≥ 2, q a prime power, be a projective linear simple group. We classify all Steiner quadruple systems admitting a group G with N ≤ G ≤ Aut(N). In particular, we show that G cannot act as a group of automorphisms on any Steiner quadruple system for n > 2.
full textOn groups with the same character degrees as almost simple groups with socle Mathieu groups
Let G be a finite group and cd(G) denote the set of complex irreducible character degrees of G. In this paper, we prove that if G is a finite group and H is an almost simple group whose socle is a Mathieu group such that cd(G) = cd(H), then there exists an abelian subgroup A of G such that G/A is isomorphic to H. In view of Huppert’s conjecture (2000), we also provide some examples to show that...
full textThe Socle of Automorphism Groups of Linear Spaces
This note is part of a general programme to classify the automorphism groups of finite linear spaces. There have been a number of contributions to this programme, including two recent surveys [8, 3]. One of the most significant contributions was the classification of flag-transitive linear spaces [2]. Since then, the effort has been to classify the line-transitive examples. These fall naturally...
full textBiplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle
In this paper we prove that there cannot be a biplane admitting a primitive, flagtransitive automorphism group of almost simple type, with alternating or sporadic socle.
full textMaximal subgroups of almost simple groups with socle PSL(2, q)
We determine all maximal subgroups of the almost simple groups with socle T = PSL(2, q), that is, of all groups G such that PSL(2, q) 6 G 6 PΓL(2, q), with q ≥ 4.
full textMy Resources
Save resource for easier access later
Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 41
issue 3 2015
Keywords
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023