Results 31 to 40 of about 310,948 (270)
The Classification of Flag-transitive Steiner 4-Designs [PDF]
, 2006 Among the properties of homogeneity of incidence structures flag-transitivity obviously is a particularly important and natural one. Consequently, in the last decades also flag-transitive Steiner tdesigns (i.e.
Huber, Michael
core +1 more source
International Journal of Mathematics and Mathematical Sciences, 1984 In this paper we continue the study of projective planes which admit collineation groups of low rank (Kallaher [1] and Bachmann [2,3]). A rank 5 collineation group of a projective plane ℙ of order n≠3 is proved to be flag-transitive. As in the rank 3 and
Otto Bachmann
doaj +1 more source
The structure of blocks with a Klein four defect group [PDF]
, 2011 We prove Erdmann’s conjecture [16] stating that every block with a Klein four defect group has a simple module with trivial source, and deduce from this that Puig’s finiteness conjecture holds for source algebras of blocks with a Klein four defect group.
A. Borel +44 more
core +1 more source
Complex group algebras of the double covers of the symmetric and alternating groups [PDF]
, 2015 We prove that the double covers of the alternating and symmetric groups are determined by their complex group algebras. To be more precise, let $n\geq 5$ be an integer, $G$ a finite group, and let $\AAA$ and $\SSS^\pm$ denote the double covers of $\Al_n$
Bessenrodt, Christine +3 more
core +2 more sources
Strong reality of finite simple groups
, 2010 The classification of finite simple strongly real groups is complete. It is easy to see that strong reality for every nonabelian finite simple group is equivalent to the fact that each element can be written as a product of two involutions.
Gal't, A. A., Vdovin, E. P.
core +1 more source
Simple groups contain minimal simple groups [PDF]
, 1997 It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple ...
Marzang, Soran +2 more
core +4 more sources
Which finite simple groups are unit groups? [PDF]
, 2014 We prove that if $G$ is a finite simple group which is the unit group of a ring, then $G$ is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order $2^k -1$ for some $k$; or (c) a projective special linear group $PSL_n ...
Davis, Christopher, Occhipinti, Tommy
core +2 more sources
Finite and infinite quotients of discrete and indiscrete groups
, 2018 These notes are devoted to lattices in products of trees and related topics. They provide an introduction to the construction, by M. Burger and S. Mozes, of examples of such lattices that are simple as abstract groups.
Agol +40 more
core +1 more source
On forbidden subgraphs of main supergraphs of groups
Electronic Research ArchiveIn this study, we explore the main supergraph $ \mathcal{S}(G) $ of a finite group $ G $, defined as an undirected, simple graph with a vertex set $ G $ in which two distinct vertices, $ a $ and $ b $, are adjacent in $ \mathcal{S}(G) $ if the order of ...
Xiaoyan Xu +3 more
doaj +1 more source
A Census Of Highly Symmetric Combinatorial Designs
, 2007 As a consequence of the classification of the finite simple groups, it has been possible in recent years to characterize Steiner t-designs, that is t-(v,k,1) designs, mainly for t = 2, admitting groups of automorphisms with sufficiently strong symmetry ...
A. Delandtsheer +39 more
core +1 more source