Results 11 to 20 of about 325,522 (254)
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
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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
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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
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On groups with chordal power graph, including a classification in the case of finite simple groups [PDF]
Journal of Algebraic Combinatorics, 2023 AbstractWe prove various properties on the structure of groups whose power graph is chordal. Nilpotent groups with this property have been classified by (Electron J Combin 28(3):14, 2021). Here we classify the finite simple groups with chordal power graph, relative to typical number theoretic conditions.
Jendrik Brachter, Eda Kaja
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Classification of tetravalent $2$-transitive non-normal Cayley graphs of finite simple groups [PDF]
Bulletin of the Australian Mathematical Society, 2016 A graph $Γ$ is called $(G, s)$-arc-transitive if $G \le \mathrm{Aut}(Γ)$ is transitive on the set of vertices of $Γ$ and the set of $s$-arcs of $Γ$, where for an integer $s \ge 1$ an $s$-arc of $Γ$ is a sequence of $s+1$ vertices $(v_0,v_1,\ldots,v_s)$ of $Γ$ such that $v_{i-1}$ and $v_i$ are adjacent for $1 \le i \le s$ and $v_{i-1}\ne v_{i+1}$ for $1
Fang, Xin Gui, Wang, Jie, Zhou, Sanming
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Groups with normal restriction property [PDF]
, 2009 Let G be a finite group. A subgroup M of G is said to be an NR-subgroup if, whenever K is normal in M, then K^G\cap M=K, where K^G is the normal closure of K in G.
Tong-Viet, Hung P.
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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.
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On the (2,3)-generation of the finite symplectic groups
, 2020 This paper is a new important step towards the complete classification of the finite simple groups which are $(2,3)$-generated. In fact, we prove that the symplectic groups $Sp_{2n}(q)$ are $(2,3)$-generated for all $n\geq 4$.
Bellani, M. C. Tamburini +1 more
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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
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The (2,3)-generation of the special linear groups over finite fields
, 2016 We complete the classification of the finite special linear groups $\SL_n(q)$ which are $(2,3)$-generated, i.e., which are generated by an involution and an element of order $3$.
Pellegrini, Marco Antonio
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