Results 21 to 30 of about 174,143 (324)
Maximal Compact Normal Subgroups [PDF]
Proceedings of the American Mathematical Society, 1987 A locally compact group G has a maximal compact subgroup if and only if \(G/G_ 0\) has a maximal compact subgroup (Theorem 1). In a totally disconnected locally compact group (such as \(G/G_ 0\) above), every compact subgroup is contained in an open compact subgroup; in particular, maximal compact subgroups are necessarily open.
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A new algorithm to compute fuzzy subgroups of a finite group
AIMS Mathematics, 2023 The enumeration of fuzzy subgroups is a complex problem. Several authors have computed results for special instances of groups. In this paper, we present a novel algorithm that is designed to enumerate the fuzzy subgroups of a finite group.
Adeel Farooq +3 more
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On Maximal Subgroups of Free Idempotent Generated Semigroups [PDF]
, 2011 We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup.
Gray, Robert, Ruskuc, Nik
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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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The conjugacy class ranks of $M_{24}$ [PDF]
International Journal of Group Theory, 2017 $M_{24}$ is the largest Mathieu sporadic simple group of order $244 823 040 = 2^{10} {cdot} 3^3 {cdot} 5 {cdot} 7 {cdot} 11 {cdot} 23$ and contains all the other Mathieu sporadic simple groups as subgroups.
Zwelethemba Mpono
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The number of maximal subgroups and probabilistic generation of finite groups [PDF]
International Journal of Group Theory, 2020 In this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to generate a finite $d$-generated group with high
Adolfo Ballester Bolinches +3 more
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Maximal subsemigroups of the semigroup of all mappings on an infinite set [PDF]
, 2013 In this paper we classify the maximal subsemigroups of the \emph{full transformation semigroup} $\Omega^\Omega$, which consists of all mappings on the infinite set $\Omega$, containing certain subgroups of the symmetric group $\sym(\Omega)$ on $\Omega ...
East, J., Mitchell, J. D., Péresse, Y.
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The Restriction Principle and Commuting Families of Toeplitz Operators on the Unit Ball [PDF]
, 2018 On the unit ball B^n we consider the weighted Bergman spaces H_\lambda and their Toeplitz operators with bounded symbols. It is known from our previous work that if a closed subgroup H of \widetilde{\SU(n,1)} has a multiplicity-free restriction for the ...
Dawson, M. +2 more
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Words for maximal Subgroups of Fi24‘
Open Chemistry, 2019 Group Theory is the mathematical application of symmetry to an object to obtain knowledge of its physical properties. The symmetry of a molecule provides us with the various information, such as - orbitals energy levels, orbitals symmetries, type of ...
Yasin Faisal +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 ...
Liebeck, Martin W., Shalev, Aner
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