Results 21 to 30 of about 985 (70)

Admissible groups, symmetric factor sets, and simple algebras

International Journal of Mathematics and Mathematical Sciences, 1984
Let K be a field of characteristic zero and suppose that D is a K-division algebra; i.e. a finite dimensional division algebra over K with center K. In Mollin [1] we proved that if K contains no non-trivial odd order roots of unity, then every finite odd
R. A. Mollin
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Maximal 3-local subgroups of symmetric groups [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2013
The subgroups in the set max    G B, consisting of all maximal 3-local subgroups of G Sym n  ( ) with respect to B,the normalizer of a Sylow 3-subgroup of G in G, is investigated.
Punnzeyar Patthanangkoor, Sompong Dhompongsa   +1 more
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Characters of symmetric groups in terms of free cumulants and Frobenius coordinates [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
Free cumulants are nice and useful functionals of the shape of a Young diagram, in particular they give the asymptotics of normalized characters of symmetric groups $\mathfrak{S}(n)$ in the limit $n \to \infty$.
Maciej Dolega, Valentin Féray, Piotr Sniady   +2 more
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Compact Lie Groups, Generalised Euler Angles, and Applications

Universe, 2022
This is mainly a review of an intense 15-year long collaboration between the authors on explicit realisations of compact Lie groups and their applications.
Sergio Luigi Cacciatori, Antonio Scotti
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On the proportion of elements of order a product of two primes in finite symmetric groups

AIMS Mathematics
This is one of a series of papers that aims to give an explicit upper bound on the proportion of elements of order a product of two primes in finite symmetric groups.
Hailin Liu , Longzhi Lu, Liping Zhong
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Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper we will show how to generate Akn+1 and Skn+1 using a copy of Sn and an element of order k in Akn+1 and Skn+1 respectively, for all positive integers n≥2 and all positive integers k≥2. We will also show how to generate Akn+1 and Skn+1
Ibraham R. Al-Amri
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Essential dimension of symmetric groups in prime characteristic

Comptes Rendus. Mathématique
The essential dimension $\operatorname{ed}_k(\operatorname{S}_n)$ of the symmetric group $\operatorname{S}_n$ is the minimal integer $d$ such that the general polynomial $x^n + a_1 x^{n-1} + \dots + a_n$ can be reduced to a $d$-parameter form by a ...
Edens, Oakley, Reichstein, Zinovy
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Characterization of the symmetric group by its non-commuting graph [PDF]

International Journal of Group Theory, 2013
The non-commuting graph $nabla(G)$ of a non-abelian group $G$ is defined as follows: its vertex set is $G-Z(G)$ and two distinct vertices $x$ and $y$ are joined by an edge if and only if the commutator of $x$ and $y$ is not the identity. In this paper we
M.R. Darafsheh, Pedram Yousefzadeh
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A Non-Redundant Benchmark for Symmetric Protein Docking

Big Data Mining and Analytics, 2019
Symmetric proteins play important roles in many biological processes, such as signal transduction and molecular transportation. Therefore, determining the symmetric oligomeric structure of subunits is crucial to investigate the molecular mechanism of the
Yumeng Yan, Sheng-You Huang
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Nested symmetric representation of elements of the Suzuki chain groups

International Journal of Mathematics and Mathematical Sciences, 2003
We demonstrate an economic and concise method for representing the elements of groups involved in the Suzuki chain. For example, we represent each element of Suz:2 by a permutation on 14 letters from L3(2):2 followed by four words, each of length at most
Mohamed Sayed
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