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Maximal Subgroups of a Given Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
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Constructing Maximal Subgroups of Classical Groups [PDF]
LMS Journal of Computation and Mathematics, 2005 AbstractThe maximal subgroups of the finite classical groups are divided by a theorem of Aschbacher into nine classes. In this paper, the authors show how to construct those maximal subgroups of the finite classical groups of linear, symplectic or unitary type that lie in the first eight of these classes.
Derek F. Holt, Colva M. Roney-Dougal
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Algebraic subgroups of the group of birational transformations of ruled surfaces [PDF]
Épijournal de Géométrie Algébrique, 2023 We classify the maximal algebraic subgroups of Bir(CxPP^1), when C is a smooth projective curve of positive genus.
Pascal Fong
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Maximal Subgroups of a Finite Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
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On θ-pairs for maximal subgroups
Journal of Pure and Applied Algebra, 2000 A pair of subgroups \((C,D)\) of a finite group \(G\) is said to be a \(\theta^*\)-pair for a maximal subgroup \(M\) of \(G\) if it satisfies the following properties: (a) \(D\) is a proper subgroup of \(C\) and \(D\) is normal in \(G\). (b) \(D\) is contained in \(M\) and \(M\) does not contain any conjugate of \(C\) in \(G\).
Shirong, Li, Yaoqing, Zhao
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Influence of complemented subgroups on the structure of finite groups [PDF]
International Journal of Group Theory, 2021 P. Hall proved that a finite group $G$ is supersoluble with elementary abelian Sylow subgroups if and only if every subgroup of $G$ is complemented in $G$. He called such groups complemented. A. Ballester-Bolinches and X.
Izabela Malinowska
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The strong nil-cleanness of semigroup rings
Open Mathematics, 2020 In this paper, we study the strong nil-cleanness of certain classes of semigroup rings. For a completely 0-simple semigroup M=ℳ0(G;I,Λ;P)M={ {\mathcal M} }^{0}(G;I,\text{Λ};P), we show that the contracted semigroup ring R0[M]{R}_{0}{[}M] is ...
Ji Yingdan
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On the σ-Length of Maximal Subgroups of Finite σ-Soluble Groups
Mathematics, 2020 Let σ={σi:i∈I} be a partition of the set P of all prime numbers and let G be a finite group. We say that G is σ-primary if all the prime factors of |G| belong to the same member of σ. G is said to be σ-soluble if every chief factor of G is σ-primary, and
Abd El-Rahman Heliel +2 more
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A New Maximal Subgroup of the Monster
Journal of Algebra, 2002 The article answers a longstanding open question about the existence of maximal subgroups of shape \(L_2(29):2\) in the Monster sporadic simple group \(M\). Using their computer construction of \(M\), the authors can prove that \(M\) contains exactly one conjugacy class of subgroups isomorphic to \(L_2(29)\) and that each of those groups is contained ...
Holmes, P.E., Wilson, R.A.
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Maximal 3-local subgroups of symmetric groups [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2013 The subgroups in the set max G B, consisting of all maximal 3-local subgroups of G Sym n ( ) with respect to B,the normalizer of a Sylow 3-subgroup of G in G, is investigated.
Punnzeyar Patthanangkoor +1 more
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