Results 21 to 30 of about 172,503 (322)
Finite groups whose maximal subgroups of even order are MSN-groups
Open Mathematics, 2022 A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
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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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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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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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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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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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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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A semilattice of varieties of completely regular semigroups [PDF]
Mathematica Bohemica, 2020 Completely regular semigroups are unions of their (maximal) subgroups with the unary operation within their maximal subgroups. As such they form a variety whose lattice of subvarieties is denoted by $\mathcal L(\mathcal C\mathcal R)$.
Mario Petrich
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Algebraic subgroups of the plane Cremona group over a perfect field [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group.
Julia Schneider, Susanna Zimmermann
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