Results 31 to 40 of about 686,790 (292)
Maximal Subgroups of Symmetric Groups
Journal of Combinatorial Theory, Series A, 1996 The purpose of this paper is to give estimates on the number of conjugacy classes of maximal subgroups of the finite symmetric groups \(S_n\), on \(n\) letters in terms of \(n\). It is shown that this number is of the form \((\frac12+o(1))n\). The main work has to be done in establishing that \(S_n\) has at most \(n^{6/11+o(1)}\) conjugacy classes of ...
Martin W. Liebeck, Aner Shalev
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Maximal Subgroups of a Given Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
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Maximal Subgroups of a Finite Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
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Free subgroups in maximal subgroups of skew linear groups [PDF]
International Journal of Algebra and Computation, 2019 The study of the existence of free groups in skew linear groups have begun since the last decades of the 20th century. The starting point is the theorem of Tits (1972), now often referred to as Tits’ Alternative, stating that every finitely generated subgroup of the general linear group [Formula: see text] over a field [Formula: see text] either ...
Bui Xuan Hai, Huynh Viet Khanh
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On an imprimitive maximal subgroup of $SU_7(2)$ [PDF]
AUT Journal of Mathematics and ComputingThe special unitary group $SU_{n}(q)$ has a maximal imprimitive subgroup with the structure $(q+1)^{n-1}{:}S_{n}$. The exceptions when the subgroup is not maximal are $SU_{3}(5)$, $SU_{4}(3)$ and $SU_{6}(2)$.
David Musyoka +3 more
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The Character Table of a Maximal Subgroup of the Monster [PDF]
LMS Journal of Computation and Mathematics, 2007 AbstractWe calculate the character table of the maximal subgroup of the Monster N(3B) isomorphic to a group of shape 3+1+12 · 2 · Suz: 2, and also of the group 31+12 : 6 · Suz · 2, which has the former as a quotient. The strategy is to induce characters from the inertia groups in 31+12 : 6 · Suz : 2 of characters of 31+12.
Richard W. Barraclough, Robert A. Wilson
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On Generalized σ-Subnormal Subgroups of Finite Groups [PDF]
Advances in Group Theory and Applications, 2023 Let σ = {σi | i ∈ I} be some partition of the set of all primes P, G a finite group and σ(G) = {σi | σi ∩ π(G) ≠ ∅}. A subgroup A of G is said to be generalized σ-subnormal in G if A = ⟨L, T⟩, where L is a modular subgroup and T is a σ-subnormal subgroup
Muhammad Tanveer Hussain
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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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A note on finite group structure influenced by second and third maximal subgroups
International Journal of Mathematics and Mathematical Sciences, 1990 The structure of a finite group having specified number of second and third maximal subgroups has been investigated in the paper.
N. P. Mukherjee, R. Khazal
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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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