On weakly h-subgroups of finite groups
WebBULL. AUSTRAL. MATH. SOC. MOS 2025, 2040 VOL. I (.19691, 3-10 On a relation between the Fitting length of a soluble group and the number of conjugacy classes of its … 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.
On weakly h-subgroups of finite groups
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WebThe 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, 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 , …
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… Web30 de nov. de 2015 · If P has a subgroup D such that 1< D < P and all subgroups H of P with order H = D and with order 2 D (if P is a non-abelian 2-subgroup and [P:D]>2) are …
WebON WEAKLY S-PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS HAORAN YU (Received 15 March 2016; accepted 19 March 2016; ... According to Li et al. [16], a subgroup H of a finite group G is called a weakly S-permutably embedded subgroup of G if there exist T EEG and H 1 G such that G = HT, H \T H 1 H and H 1 is S … 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
WebIn this paper, we investigate the structure of the finite group G under the assumption that some subgroups of prime power order are weakly ℋ C -embedded in G. Our results …
WebMiao, 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 how a flood happensWeb23 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 … how many horses in the kentucky derbyWebA subgroup H of a group G is called weakly -subgroup in G if there exists a normal subgroup K of G such that G=HKand H∩K∈ G . It is clear that each of c-normality and … how many horses in the worldWebLet G be a finite group, H a subgroup of G and p a prime number. We say that H is weakly s p -permutable in G if G has a subnormal subgroup K such that G = HK , H s G … how a floating ball valve worksWeb25 de mai. de 2012 · We investigate the influence of weakly s-normal subgroups on the structure of finite groups. Some recent results are generalized and unified. Assume that … how many horses in the usaWeb3 de jun. de 2016 · We say that H is weakly ℋ -embedded in G if G has a normal subgroup K such that HG = HK and H ∩ K is an ℋ-subgroup in G. In this paper, we investigate the … how many horses kentucky derbyWebON WEAKLY M-SUPPLEMENTED SUBGROUPS OF SYLOW p-SUBGROUPS OF FINITE GROUPS∗ LONG MIAO School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, P. R. China e-mail: [email protected] (Received 25 August 2009; revised 21 September 2010; accepted 2 November 2010) Abstract. A subgroup H is … how many horses in the world today