Results 21 to 30 of about 324,321 (273)

Book Review: The classification of the finite simple groups [PDF]

open access: diamondBulletin of the American Mathematical Society, 1997
Michael Aschbacher
openalex   +3 more sources

On Flag-Transitive, Point-Quasiprimitive Symmetric 2-(v,k,λ) Designs with λ Prime

open access: yesMathematics, 2023
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
doaj   +1 more source

Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index

open access: yesJournal of Harbin University of Science and Technology, 2023
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
doaj   +1 more source

Groups with a Strongly Embedded Subgroup Saturated with Finite Simple Non-abelian Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
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
doaj   +1 more source

ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS

open access: yesUral Mathematical Journal, 2022
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
doaj   +1 more source

Lattice model constructions for gapless domain walls between topological phases

open access: yesPhysical Review Research, 2022
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
doaj   +1 more source

On matrix representations of oversemigroups of semigroups generated by two mutually annihilating idempotents

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020
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
doaj   +1 more source

The Classification of Flag-transitive Steiner 4-Designs [PDF]

open access: yes, 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

On Finite Groups with an Irreducible Character Large Degree

open access: yesМоделирование и анализ информационных систем, 2015
Let G be a finite nontrivial group with an irreducible complex character χ of degree d = χ(1). It is known from the orthogonality relation that the sum of the squares of degrees of irreducible characters of G is equal to the order of G. N.
L. S. Kazarin, S. S. Poiseeva
doaj   +1 more source

On rank 5 projective planes

open access: yesInternational 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

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