Results 11 to 20 of about 743,335 (330)
Symmetric cohomology of groups [PDF]
, 2018 We investigate the relationship between the symmetric, exterior and classical cohomologies of groups. The first two theories were introduced respectively by Staic and Zarelua.
Mariam Pirashvili
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Symmetric presentations of Coxeter groups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2011 AbstractWe apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of typesAn,DnandEn, and show that these are naturally arrived at purely through consideration of certain natural actions of symmetric groups.
Ben Fairbairn +7 more
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GENERATING INFINITE SYMMETRIC GROUPS [PDF]
Bulletin of the London Mathematical Society, 2006 Let S=Sym( ) be the group of all permutations of an infinite set . Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, respectively as a monoid, then there exists a positive integer n such that every element of S may be written as a group word, respectively a monoid word, of length \leq n in ...
George M. Bergman, M. Bergman
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Group codes over symmetric groups
AIMS Mathematics, 2023 Let $ \Bbb F_{q} $ be a finite field of characteristic $ q $ and $ S_n $ a symmetric group of order $ n! $. In this paper, group codes in the symmetric group algebras $ \Bbb F_{q}S_n $ with $ q > 3 $ and $ n = 3, 4 $ are proposed.
Yanyan Gao , Yangjiang Wei
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Symmetric groups and conjugacy classes [PDF]
Journal of Group Theory, 2008 Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $ , \in S_n$, we prove that the product $ ^{S_n} ^{S_n}$ of the conjugacy classes $ ^{S_n}$ and $ ^{S_n}$ is never a conjugacy class. Furthermore, if n is not even and $n$ is not a multiple of three, then $ ^{S_n} ^{S_n}$ is the union of at least three distinct ...
Adan-Bante, Edith, Verrill, Helena
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Endotrivial modules for the symmetric and alternating groups [PDF]
, 2009 In this paper we determine the group of endotrivial modules for certain symmetric and alternating groups in characteristic $p$. If $p=2$, then the group is generated by the class of $\Omega^n(k)$ except in a few low degrees.
Jon Carlson +2 more
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On some subgroup lattices of dihedral, alternating and symmetric groups [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2023 Vilas Kharat +2 more
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Symmetric designs and projective special unitary groups $\text{PSU}_{5}(q)$ [PDF]
International Journal of Group Theory, 2022 In this article, we prove that if a nontrivial symmetric $(v, k, \lambda)$ design admit a flag-transitive and point-primitive automorphism group $G$, then the socle $X$ of $G$ cannot be a projective special unitary group of dimension five. As a
Ashraf Daneshkhah
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GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES
Tạp chí Khoa học Đại học Đà Lạt, 2021 We give a brief overview of recent developments on the calculation of generating series for invariants of external products of suitable coefficients (e.g., constructible or coherent sheaves, or mixed Hodge modules) on complex quasi-projective varieties.
Laurentiu George Maxim
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Symmetric group characters as symmetric functions [PDF]
Advances in Mathematics, 2021 35 pages; this is the more complete version of arXiv:1510.00438; v5 differs from previous versions with minor edits and the addition of an appendix about using Sagemath to do computations with these bases (this appendix does not appear in the published journal version)
Orellana, Rosa, Zabrocki, Mike
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