Results 1 to 10 of about 166,429,865 (213)

On structural aspects of finite simple groups of Lie type [PDF]

open access: yes, 2011
PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
core   +4 more sources

A Simple Classification of Finite Groups of Order p2q2 [PDF]

open access: yesMathematics Interdisciplinary Research, 2018
‎Suppose G is a group of order p2q2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, ‎respectively‎. ‎In this paper‎, ‎we show that up to isomorphism‎, ‎there are four groups of order p2q2 when Q and P are
Aziz Seyyed Hadi   +2 more
doaj   +1 more source

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

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

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

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

The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]

open access: yes, 2015
One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Schröder, Anna Katharina
core   +2 more sources

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

Finiteness properties of profinite groups [PDF]

open access: yes, 2010
PhDBroadly speaking, a finiteness property of groups is any generalisation of the property of having finite order. A large part of infinite group theory is concerned with finiteness properties and the relationships between them. Profinite groups are an
Colin David Reid, Reid, Colin David
core   +4 more sources

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