On weakly h-subgroups of finite groups ii
Web1 de dez. de 2014 · In particular, when \ (H\) is a subgroup of prime-power order and \ (K\) is a Sylow subgroup containing it, \ (H\) is simply said to be a weakly closed subgroup of \ (G\) or weakly closed... 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…
On weakly h-subgroups of finite groups ii
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WebWe say that H is weakly ℋ C-embedded in G if there exists a normal subgroup T of G such that H G = H T and H g ∩ N T (H) ≤ H for all g ∈ G. In this paper, we investigate the … Web27 de set. de 2012 · A subgroup H of G is called weakly ℋ-subgroup in G if there exists a normal subgroup K of G such that G = HK and H ∩ K is an ℋ-subgroup in G. In this …
Web1 de nov. de 2012 · A subgroup H of G is called a weakly -subgroup in G if there exists a normal subgroup K of G such that G = HK and H ∩ K is an -subgroup in G. In this paper, we investigate the structure of the finite group G under the assumption that every subgroup of G of prime order or of order 4 is a weakly -subgroup in G. WebAbstract A 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 …
Webcharacterize the solvable T-group by H-subgroups. Theorem 1.1 ([6]). Let G be a group. The following statements are equivalent: (i) G is a solvable T-group; (ii) Every subgroup of G is an H-subgroup of G; (iii) For all p A pðGÞ, the p-subgroups of G are H-subgroups of G. Another important concept (Definition 1.2 below) was introduced by ... Web8 de dez. de 2024 · Abstract. A subgroup H of a finite group G is weakly-supplemented in G if there exists a proper subgroup K of G such that G = HK. In the paper, we extend one …
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 H / H G, then H 1 B = B H 1 < G, where HG is the largest normal subgroup of G contained in H.
WebDefinition 1.1. A subgroup H of G is said to be weakly σ-permutable in G if there exists a σ-subnormal subgroup T of G such that G = HT and H ∩ T ≤ HσG, where HσG is the subgroup of H generated by all those subgroups of H which are σ-permutable in G. Following [12], HσG is called σ-core of H. poacher line crppoacher missing crocodileWeb2 de out. de 2016 · Request PDF On Weakly ℋ-embedded Subgroups of Finite Groups Let G be a finite group and H a subgroup of G. We say that H is an ℋ-subgroup in G if … poacher mark poeWeb3 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 … poacher loginWebon weaklySS-quasinormal subgroups of finite groups 65 Proof. Suppose that the result is false and letGbe a counterexample of minimal order. We treat with the following two cases: Case 1. Every cyclic subgroupHofPwith prime order or order 4 (ifPis a non-abelian 2-group andH*Z1(G)) without ap-nilpotent supplement inGis weaklySS-quasinormal inG. poacher lincolnshireWeb16 de nov. de 2024 · A subgroup H of G is called weakly normal in G if H^ {x}\le N_ {G} (H) implies that H=H^ {x}, where x\in G. Here we prove that for p -subgroups of finite groups, the concept of pronormal subgroups, weakly normal subgroups and weakly closed subgroups are equivalent. Theorem 4.3 poacher panicWeb21 de mai. de 2024 · In [ 3, Theorem 4.3], we show that for p -subgroups of finite groups, the concept of pronormal subgroups, weakly normal subgroups and weakly closed subgroups are equivalent. We restate [ 3, Theorem4.3] as follows. Theorem 1.1 poacher meme