Results 1 to 10 of about 166,429,865 (213)
On structural aspects of finite simple groups of Lie type [PDF]
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
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A Simple Classification of Finite Groups of Order p2q2 [PDF]
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
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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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The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]
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
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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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Finiteness properties of profinite groups [PDF]
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
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