Results 1 to 10 of about 521,849 (282)
On Thompson’s Conjecture for Alternating Groups Ap+3 [PDF]
The Scientific World Journal, 2014 Let G be a group. Denote by π(G) the set of prime divisors of |G|. Let GK(G) be the graph with vertex set π(G) such that two primes p and q in π(G) are joined by an edge if G has an element of order p·q.
Shitian Liu, Yong Yang
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Stable cohomology of alternating groups [PDF]
Open Mathematics, 2014 Abstract We determine the stable cohomology groups ($$H_S^i \left( {{{\mathfrak{A}_n ,\mathbb{Z}} \mathord{\left/ {\vphantom {{\mathfrak{A}_n ,\mathbb{Z}} {p\mathbb{Z}}}} \right. \kern-\nulldelimiterspace} {p\mathbb{Z}}}} \right)$$ of the alternating groups $$\mathfrak{A}_n$$ for all integers n and i, and all odd primes p.
Bogomolov Fedor, Böhning Christian
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Unramified cohomology of alternating groups
Open Mathematics, 2011 Abstract We prove vanishing results for the unramified stable cohomology of alternating groups.
Bogomolov Fedor, Petrov Tihomir
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Factorization of groups involving symmetric and alternating groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain the structure of finite groups of the form G=AB where B is a group isomorphic to the symmetric group on n letters Sn, n≥5 and A is a group isomorphic to the alternating group on 6 letters.
M. R. Darafsheh, G. R. Rezaeezadeh
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Binary permutation groups: Alternating and classical groups [PDF]
American Journal of Mathematics, 2020 We introduce a new approach to the study of finite binary permutation groups and, as an application of our method, we prove Cherlin's binary groups conjecture for groups with socle a finite alternating group, and for the $\mathcal{C}_1$-primitive actions of the finite classical groups.
Gill, N, Spiga, P
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Characterization of some alternating groups by order and largest element order [PDF]
AUT Journal of Mathematics and Computing, 2022 The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph.
Ali Mahmoudifar, Ayoub Gharibkhajeh
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Metric properties of Cayley graphs of alternating groups
Karpatsʹkì Matematičnì Publìkacìï, 2021 A well known diameter search problem for finite groups with respect to its systems of generators is considered. The problem can be formulated as follows: find the diameter of a group over its system of generators.
M.S. Olshevskyi
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Algebraic constructions of group divisible designs
Examples and Counterexamples, 2023 Some series of Group divisible designs using generalized Bhaskar Rao designs over Dihedral, Symmetric and Alternating groups are obtained.
Shyam Saurabh, Kishore Sinha
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Boolean lattices in finite alternating and symmetric groups
Forum of Mathematics, Sigma, 2020 Given a group G and a subgroup H, we let $\mathcal {O}_G(H)$ denote the lattice of subgroups of G containing H. This article provides a classification of the subgroups H of G such that $\mathcal {O}_{G}(H)$ is Boolean of rank at least
Andrea Lucchini +3 more
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Alternating Groups as Collineation Groups
Journal of Algebra, 2000 A collineation group \(G\) of a projective plane \(\pi\) is called totally irregular if each \(G\)-orbit of points is irregular, that is, the stabiliser of any point in \(G\) is not \(1\). In the paper under review, the authors prove that only finitely many alternating groups can be totally irregular collineation groups of projective planes. Precisely,
UFRj/Uenf, Brazil ( host institution ) +2 more
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