Results 1 to 10 of about 14,310 (122)
ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
Ural 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
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Науковий 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
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Dixon's asymptotic without the classification of finite simple groups [PDF]
Random Structures & Algorithms, 2023 AbstractWithout using the classification of finite simple groups (CFSG), we show that the probability that two random elements of generate a primitive group smaller than is at most . As a corollary we get Dixon's asymptotic expansion for the probability that two random elements of (or ) generate a subgroup containing .
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Maximal subgroups of finite simple groups: classifications and applications [PDF]
, 2021 This paper surveys what is currently known about the maximal subgroups of the finite simple groups. After briefly introducing the groups themselves, if their maximal subgroups are completely determined then we present this classification. For the remaining finite simple groups our current knowledge is only partial: we describe the state of play, as ...
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On the classification of finite simple groups by the number of involutions [PDF]
Proceedings of the American Mathematical Society, 1979 Simple groups with k involutions, where k ≡
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Group Knowledge and Mathematical Collaboration: A Philosophical Examination of the Classification of Finite Simple Groups [PDF]
Episteme, 2021 AbstractIn this paper we apply social epistemology to mathematical proofs and their role in mathematical knowledge. The most famous modern collaborative mathematical proof effort is the Classification of Finite Simple Groups. The history and sociology of this proof have been well-documented by Alma Steingart (2012), who highlights a number of ...
Habgood-Coote, J, Tanswell, FS
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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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Block-transitive Steiner t-designs and sporadic simple groups(区传递Steiner t-设计与散在单群)
Zhejiang Daxue xuebao. Lixue banThe study of t-designs with certain highly symmetric properties and the classification of their automorphism groups is one of the important topics of algebraic combinatorics.
庞璇(PANG Xuan) +1 more
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A brief history of the classification of the finite simple groups [PDF]
Bulletin of the American Mathematical Society, 2001 We present some highlights of the 110-year project to classify the finite simple groups.
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A Simple Classification of Finite Groups of Order p2q2
Mathematics Interdisciplinary Research, 2017 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 cyclic, three groups when Q is a cyclic and P is an elementary ablian group, p2+3p/2+7 groups ...
Seyyed Hadi, Aziz +2 more
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