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The Classification of Finite Simple Groups: A Progress Report
Ronald Solomon
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Classification of Maximal Subgroups of Odd Index in Finite Simple Classical groups: Addendum
11 pages, to appear in Siberian Electronic Mathematical ...
Н. В. Маслова
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The authors supply a proof, based on the Classification Theorem for finite simple groups, that a Steiner triple system whose automorphism is doubly transitive on points is a projective geometry over GF(2) or an affine geometry over GF(3). This was a conjecture of \textit{M. Hall jun.} [Proc. Symp. Pure Math. 6, 47-66 (1962; Zbl 0114.012)].
J. D. Key, Ernest E. Shult
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On Flag-Transitive, Point-Quasiprimitive Symmetric 2-(v,k,λ) Designs with λ Prime
This paper contributes to the classification of flag-transitive symmetric 2-(v,k,λ) designs with λ prime. We investigate the structure of flag-transitive, point-quasiprimitive automorphism groups (G) of such 2-designs by applying the classification of ...
Yongli Zhang, Jiaxin Shen, Zhilin Zhang
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Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index
In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
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ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
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Groups with a Strongly Embedded Subgroup Saturated with Finite Simple Non-abelian Groups
An important concept in the theory of finite groups is the concept of a strongly embedded subgroup. The fundamental result on the structure of finite groups with a strongly embedded subgroup belongs to M. Suzuki.
A.A. Shlepkin
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Lattice model constructions for gapless domain walls between topological phases
Domain walls between different topological phases are one of the most interesting phenomena that reveal the nontrivial bulk properties of topological phases.
Chenfeng Bao+3 more
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Classification theory of simple locally finite groups
This thesis constitutes a contribution to applied stability theory. We consider the classification problem of the stable simple locally finite groups. First the classification of the finite simple groups is used to reduce the problem to an identification problem for the simple locally finite groups of Lie type and an interpretation problem in model ...
Simon Rhys Thomas
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Matrix representations of finite semigroups over fields are studied not so well as for finite groups. Representations of finite groups over fields are studied sufficiently well; in particular, the criterions of representation type are fully defined for ...
В. М. Бондаренко+1 more
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