On weakly h-subgroups of finite groups
Web1 de set. de 2007 · First suppose that some subgroup H of N satisfying H = D is not s-permutable in G. By hypothesis H is weakly s-permutable in G and so by Lemma 2.10 (5), G has a normal subgroup T such that G : T is prime and HT = G. It follows that NT = G, T ∩ N is a maximal subgroup of N and T ∩ N is normal in G, a contradiction. 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 …
On weakly h-subgroups of finite groups
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WebAbstract A subgroup H of a finite group G is said to be an ℋ -subgroup in G if N G ( H) ∩ H g ≤ H for all g ∈ G; and H is said to be a weakly ℋ -subgroup in G if there is a normal … Web27 de set. de 2012 · We say that H is weakly ℋ -embedded in G if G has a normal subgroup K such that H G = HK and H ∩ K is an ℋ-subgroup in G. In this paper, we investigate the …
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 Web30 de nov. de 2010 · A subgroup H of a group G is said to be weakly s-permutable in G if there exists a subnormal subgroup K of G such that G = HK and H ∩ K ≤ H sG where H …
WebIn mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator.It is a special type of C*-algebra.. Von Neumann algebras were originally introduced by John von Neumann, motivated by his study of single operators, group … Web31 de ago. de 2024 · We introduce the concept of F h -supplemented subgroups and investigate the structure of finite groups on assuming that some maximal subgroups of …
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.
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 … pool built into hillsideWeb3 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 … shaq vs andre the giantWeb3 de jun. de 2016 · In this paper, we investigate the structure of the finite group Gunder the assumption that some subgroups of prime power order are weakly ℋ-embedded in G. Our results improve and generalize several recent results in the literature. Key Words: c-Normal subgroup ℋ-Subgroup p-Nilpotent group Supersolvable group Saturated formation … shaq victory pumpWebA 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 … pool buoy leak detectionWeb9 de nov. de 2024 · On weakly ℋ-subgroups of finite groups III November 2024 Journal of Algebra and Its Applications 10.1142/S0219498824500622 Authors: Ruifang Chen … pool build salt lake city utahWeb2 de out. 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 … shaq victoryWebAbout us. We unlock the potential of millions of people worldwide. Our assessments, publications and research spread knowledge, spark enquiry and aid understanding around the world. shaq vertical jump height