Sylow (aNowegian mathematician) in his theorem gave a condition for such divisor mif G must have a subgroup of order m. The group treated in this paper is thepermutation group also called the symmetric group. Wreath product is usedin constructing these subgroups (the Sylow p - subgroups) of...
GROUP-ALGEBRA EXTENSIONSLet n and k be positive integers. We consider the (ordinary) depth of several Young subgroups of the symmetric group S-n. For k = 2k, we show that the depth of S-{k+1,S-...,S-n} x S-{1,S-...,S-k} similar or equal to Sn-k x S-k in S-n is...
Praeger. Maximal subgroups of Infinite symmetric groups. J. London Math. Sot. (2) 42 (1990) 85 92.Marcus Brazil, Jacinta Covington, Tim Penttila, Cheryl E. Praeger, and Alan R. Woods. Maximal subgroups of infinite symmetric groups. Proc. London Math. Soc. (3), 68(1):77-111, 1994....
SYMMETRIC matricesABELIAN groupsIn 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. The ...
on the average number of subgroups of the group Z_m xZ_n, 视频播放量 106、弹幕量 0、点赞数 8、投硬币枚数 0、收藏人数 4、转发人数 0, 视频作者 热爱数学的小渣渣, 作者简介 我们只愿在真理的圣坛之前低头,不愿在一切物质的权威之前拜倒。希望这个国家能够越来越好,
Sylow subgroups of symmetric and alternating groups and the vertex of $S^{(kp-p,1^p)}$ in characteristic $p$ We show that the Sylow $p$-subgroups of a symmetric group, respectively an alternating group, are characterized as the $p$-subgroups containing all element... E Giannelli,KJ Lim...
For a finite group G, let (G) denote the sum of element orders of G. The aim of this article is to show that (H) < (An) for every proper subgroup H of the symmetric group of degree n, which is different from the alternating group An.关键词: Element orders Maximal subgroups Symme...
Let Γ = GSp (2l, R) be the general symplectic group of rank l over a commutative ring R such that 2 ∈ R*; and let ν be a symmetric equivalence relation on the index set {1,…, l, l,…, 1} all of whose classes contain at least 3 elements. In the present paper, we ...
The interpretation is given in terms of the connected components of the scheme that classifies subgroup schemes of a particular p-divisible group.关键词: Subgroups of p -divisible groups and centralizers in symmetric groups, Artículo DOI: 10.1090/S0002-9947-2014-06344-7 ...
This paper gives all the nilpotent subgroups and solvable subgroups of symmetric group S5. 给出了S5的全部102个幂零子群和154个可解子群,其中幂零子群分为10个共轭类,可解子群分为17个共轭类,而且给出了每个子群的阶和一个最小生成元组。4) complemented subgroup 可补子群 1. The purpose of this ...