Results 21 to 30 of about 73,450 (306)
ON THE 3-COLORABLE SUBGROUP F and MAXIMAL SUBGROUPS OF THOMPSON’S GROUP F [PDF]
, 2023 In his work on representations of Thompson’s group F, Vaughan Jones defined and studied the 3-colorable subgroup F of F. Later, Ren showed that it is isomorphic to the Brown–Thompson group F4.
Aiello V., Nagnibeda T.
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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 and PST-groups [PDF]
Open Mathematics, 2013 Abstract A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp.
Ballester-Bolinches, Adolfo +3 more
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On maximal subgroups of Thompson’s group $F$
Groups, Geometry, and Dynamics, 2023 We study subgroups of Thompson’s group F by means of an automaton associated with them. We prove that every maximal subgroup of F of infinite index is
Golan, Gili
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The index complex of a maximal subalgebra of a Lie algebra. [PDF]
, 2011 Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M.
Towers, David A., David A. Towers
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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 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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