Results 1 to 10 of about 11,025 (250)
The depth of Young subgroups of symmetric groups
Journal of Algebra, 2013 For a subgroup \(H\) of a finite group \(G\), the depth of the inclusion \(H\leqslant G\) is the minimum depth of the inclusion of the group algebras \(\mathbb CH\subseteq\mathbb CG\). Let \(n\in\mathbb N\) and take \(G=\mathfrak S_n\), the symmetric group of degree \(n\). For appropriate values of \(k\in\mathbb N\) there exist Young subgroups of \(G\)
Burkhard Külshammer
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Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
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On the Degree of Product of Two Algebraic Numbers
Mathematics, 2023 A triplet (a,b,c) of positive integers is said to be product-feasible if there exist algebraic numbers α, β and γ of degrees (over Q) a, b and c, respectively, such that αβγ=1.
Lukas Maciulevičius
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Permutation codes over Sylow 2-subgroups $Syl_2(S_{2^n})$ of symmetric groups $S_{2^n}$
Researches in Mathematics, 2021 The permutation code (or the code) is well known object of research starting from 1970s. The code and its properties is used in different algorithmic domains such as error-correction, computer search, etc.
V.A. Olshevska
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Collineation group as a subgroup of the symmetric group [PDF]
Open Mathematics, 2013 AbstractLet ψ be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension ≥ 3 over a field. Let H be a closed (in the pointwise convergence topology) subgroup of the permutation group $\mathfrak{S}_\psi $ of the set ψ.
Bogomolov Fedor, Rovinsky Marat
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Parabolic double cosets in Coxeter groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Parabolic subgroups WI of Coxeter systems (W,S) and their ordinary and double cosets W/WI and WI\W/WJ appear in many contexts in combinatorics and Lie theory, including the geometry and topology of generalized flag varieties and the symmetry groups of ...
Sara Billey +4 more
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On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups
Karpatsʹkì Matematičnì Publìkacìï, 2013 The commuting graph of a group $G$ is an undirected graph whose vertices are non-central elements of $G$ and two distinct vertices $x,y$ are adjacent if and only if $xy=yx$.
Yu.Yu. Leshchenko, L.V. Zoria
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The Maschke property for the Sylow $p$-sub-groups of the symmetric group $S_{p^n}$ [PDF]
International Journal of Group Theory, 2018 In this paper we prove that the Maschke property holds for coprime actions on some important classes of $p$-groups like: metacyclic $p$-groups, $p$-groups of $p$-rank two for $p>3$ and some weaker property holds in the case of regular $p$-groups.
David Green +2 more
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Frontiers in Endocrinology, 2022 IntroductionThis study aimed to explore the novel classification of inpatients with new-onset diabetes in Eastern China by the cluster-based classification method and compare the clinical characteristics among the different subgroups.MethodsA total of ...
Xueke Song +24 more
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