Results 11 to 20 of about 202,613,988 (162)
On structural aspects of finite simple groups of Lie type [PDF]
, 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
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Simple groups contain minimal simple groups [PDF]
, 1997 It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple ...
Ward, M. B. +8 more
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The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]
, 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
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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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The probability of generating a finite simple group [PDF]
, 2013 We study the probability of generating a finite simple group, together with its generalisation PG,socG(d), the conditional probability of generating an almost simple finite group G by d elements, given that these elements generate G/ socG.
Colva M. Roney-Dougal +7 more
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International 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
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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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Generation problems for finite groups [PDF]
, 2012 It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then given any generating set A for G there exists a subset of A of size r that generates G. We have denoted this property B.
McDougall-Bagnall, Jonathan M.
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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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Classification of finite simple groups of small order [PDF]
, 2022 At the end of the 19th century Otto Hölder proposed one of the most important problems in group theory, the mathematical field this master’s thesis belongs to. Part of the problem represents the classification of finite simple groups.
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