Results 21 to 30 of about 70,616 (265)
Semi-Extraspecial Groups with an Abelian Subgroup of Maximal Possible Order [PDF]
Advances in Group Theory and Applications, 2018 Let p be a prime. A finite p-group G is defined to be semi-extraspecial if for every maximal subgroup N in Z(G) the quotient G/N is a an extraspecial group. In addition, we say that G is ultraspecial if G is semi-extraspecial and |G : G′| = |G′|^2.
Mark L. Lewis
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Maximal Subgroups of a Given Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
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Counting maximal arithmetic subgroups [PDF]
Duke Mathematical Journal, 2007 We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semisimple Lie group using an extension of the method developed by Borel and Prasad.
Belolipetsky, M. +2 more
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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 Finite Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
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On theta pairs for a maximal subgroup [PDF]
Proceedings of the American Mathematical Society, 1990 For a maximal subgroup M M of a finite group G G , a Θ \Theta -pair is any pair of subgroups ( C , D ) (C,D) of G G such that (i) D ◃ G , D ⊂ C D \triangleleft G,D ...
Mukherjee, N. P., Bhattacharya, Prabir
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Maximal subgroups of finite groups
International Journal of Mathematics and Mathematical Sciences, 1990 In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the whole group then it influences the structure of the group itself.
S. Srinivasan
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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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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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