On weakly h-subgroups of finite groups
WebAbstract Let G be a finite group and H a subgroup of G. We say that H is an ℋ -subgroup of G if N G ( H) ∩ H g ≤ H for all g ∈ G; H is called weakly ℋ C -embedded in G if G has a normal subgroup T such that H G = H T and N T ( H) ∩ H g ≤ H for all g ∈ G, where H G is the normal closure of H in G. WebA subgroup H of a group G is said to be weakly M -supplemented in G if there exists a subgroup B of G provided that (1) G = HB, and (2) if H 1 / H G is a maximal subgroup of …
On weakly h-subgroups of finite groups
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WebThis two-volume book contains selected papers from the international conference 'Groups St Andrews 1997 in Bath'. The articles cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles ... WebWe show that stationary characters on irreducible lattices of higher-rank connected semisimple Lie groups are conjugation invariant, that is, they are genuine characters. This result has several applications in repres…
WebA subgroup H of G is said to be 𝓗-permutable if HA = AH for all A ∈ 𝓗. We say that a subgroup H of G is weakly 𝓗-permutable in G if there exists a σ-subnormal subgroup T of G such that G = HT and H ∩ T ≤ H𝓗, where H𝓗 is the subgroup of H generated by all those subgroups of H which are 𝓗-permutable. WebIn a finite soluble group G, the Fitting (or nilpotency) length h (G) can be considered as a measure for how strongly G deviates from being nilpotent. As another measure for this, the number v (G) of conjugacy classes of the maximal nilpotent subgroups of G may be taken.
WebWe classify Lagrangian subcategories of the representation category of a twisted quantum double Dω(G), where G is a finite group and ω is a 3-cocycle on it. In view of results of [DGNO] this gives a complete description of all braided tensor equivalent pairs of twisted quantum doubles of finite groups. We also establish a canonical bijection between … WebIn this paper, we present some sufficient conditions for a group to be p -nilpotent under the assumption that certain subgroups of fixed prime power orders are weakly ℋ -subgroups in G. The main results improve and extend new and recent results in the literature. Communicated by E. Vdovin Keywords: ℋ -subgroup weakly ℋ -subgroup p -nilpotent
Web1 de dez. de 2012 · On weakly s-semipermutable subgroups of finite groups☆ Dedicated to Professor John Cossey on the occasion of his seventieth birthday Yangming Li a , …
Web21 de mai. de 2024 · In our recent paper , we investigate the influence of pronormal p-subgroups on the structure of finite groups. In [ 3 , Theorem 4.3], we show that for p … hillsboro beach club membership costWebMiao, L. 2011: On Weakly -Supplemented Subgroups Of Sylow p-Subgroups Of Finite Groups Glasgow Mathematical Journal 53(2): 401-410 Guralnick, R.; Kleidman, P.B.; Lyons, R. 1993: Sylow p-Subgroups and Subnormal Subgroups of Finite Groups Proceedings of the London Mathematical Society s3-66(1): 129-151 smart greenhouse system articlesWebAbstract. Let G be a finite group. A subgroup H of G is said to be a BNA-subgroup of G if either H x = H or x ∈ 〈 H, H x 〉 for all x ∈ G. A subgroup H of G is said to be a weakly … smart greenhouse project reportWeb23 de mar. de 2014 · In this paper, we investigate the structure of finite groups whose subgroups of prime power order are weakly closed subgroups. 2 Preliminaries The … hillsboro bank plant cityWebOn groups with modular Schmidt subgroups Victor S. Monakhov and Irina L. Sokhor Department of Mathematics and Technologies of Programming, ... A.N., Finite Groups … smart grey technologiesWebIn this paper, we present some sufficient conditions for a group to be p -nilpotent under the assumption that certain subgroups of fixed prime power orders are weakly ℋ … smart greens cornwallWebThe aim of the present paper is to define and study a new class of groups, namely Wm-groups with a single binary operation based on axioms of semi commutativity, right identity and left inverse. Moreover, we introduce the notions of right cosets, hillsboro 4th of july parade