Zobrazeno 1 - 10 of 581 pro vyhledávání: '"Covering groups of the alternating and symmetric groups"'
1
Virtually free groups and integral representations
Autor: Igor Lima, Pavel Zalesskii
Publikováno v: Journal of Algebra. 500:303-315
Let G = F ⋊ H be a semidirect product of a free group F and a finite group H. The H-module structure of the abelianization F a b is described in terms of splitting of G as the fundamental group of a graph of finite groups.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c192d5077c1e253ad238a3984b95d610
https://doi.org/10.1016/j.jalgebra.2017.02.015
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2
Characterizing projective general unitary groups ${\rm PGU}_3(q^2)$ by their complex group algebras
Autor: Ali Iranmanesh, Farrokh Shirjian
Publikováno v: Czechoslovak Mathematical Journal. 67:819-826
Let G be a finite group. Let X 1(G) be the first column of the ordinary character table of G. We will show that if X 1(G) = X1(PGU3(q 2)), then G ≅ PGU3(q 2). As a consequence, we show that the projective general unitary groups PGU3(q 2) are unique
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::80d9ed9587a494a1e41831c3a2edf1f6
https://doi.org/10.21136/cmj.2017.0194-16
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3
Integral group rings with all central units trivial
Autor: Sugandha Maheshwary, Inder Bir S. Passi, Gurmeet K. Bakshi
Publikováno v: Journal of Pure and Applied Algebra. 221:1955-1965
The object of study in this paper is the finite groups whose integral group rings have only trivial central units. Prime-power groups and metacyclic groups with this property are characterized. Metacyclic groups are also classified according to the c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b83fd2c6844c970d153b21e45936888a
https://doi.org/10.1016/j.jpaa.2016.10.017
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4
Central Schur rings over the projective special linear groups
Autor: Stephen P. Humphries, David R. Wagner
Publikováno v: Communications in Algebra. 45:5325-5337
In [1], Bannai presents a fusion condition and uses this to consider central Schur rings (S-rings) over the simple groups PSL(2,q) where q is a prime power. In this paper, we concretely describe all such S-rings in terms of symmetric S-rings over cyc
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4be4497725bd3a6cf5ac91aca8c1155f
https://doi.org/10.1080/00927872.2017.1316855
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6
Regular orbits of symmetric and alternating groups
Autor: Jan Saxl, Eamonn A. O'Brien, Joanna B. Fawcett
Given a finite group $G$ and a faithful irreducible $FG$-module $V$ where $F$ has prime order, does $G$ have a regular orbit on $V$? This problem is equivalent to determining which primitive permutation groups of affine type have a base of size 2. In
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dffba8b00fc315feb3e2c6e8c88cf376
http://arxiv.org/abs/1812.05880
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7
Spectra of the finite simple groups E 7(q)
Autor: A. A. Buturlakin
Publikováno v: Siberian Mathematical Journal. 57:769-777
We describe the spectra of simple and universal groups of Lie type E 7.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f037a7823fa6a4af6727212cf87f8c3e
https://doi.org/10.1134/s0037446616050050
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8
On Thompson’s conjecture for alternating and symmetric groups of degree greater than 1361
Autor: Ilya Gorshkov
Publikováno v: Proceedings of the Steklov Institute of Mathematics. 293:58-65
Let G be a finite group G, and let N(G) be the set of sizes of its conjugacy classes. It is shown that, if N(G) equals N(Altn) or N(Symn), where n > 1361, then G has a composition factor isomorphic to an alternating group Altm with m ≤ n and the in
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::08cd9ac9c5485aba549c0850c332f6a5
https://doi.org/10.1134/s0081543816050060
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10
OD-Characterization of alternating and symmetric groups of degree p + 5
Autor: Guiyun Chen, Haijing Xu, Yanxiong Yan
Publikováno v: Chinese Annals of Mathematics, Series B. 36:1001-1010
In this paper, it is proved that all the alternating groups Ap+5 are OD-characterizable and the symmetric groups Sp+5 are 3-fold OD-characterizable, where p+4 is a composite number and p + 6 is a prime and 5 ≠ p ∈ π(1000!).
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b4a94099fa030cb30830641d1b082653
https://doi.org/10.1007/s11401-015-0923-7
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