We study the subgroup structure of discrete groups which share cohomological properties which resemble non-negative curvature. Examples include all Gromov hyperbolic groups. A subgroup H ⊂ G is called s-normal, if H∩H is infinite for all g ∈ G. We provide strong restrictions on the possible s-normal subgroups of a Gromov hyperbolic group, or more generally a ’negatively curved’ group. Another r...

Szasz [l ] has recently shown that a group is cyclic if and only if it satisfies condition (A) below. (A) Every cyclic subgroup of the group is for some positive integer k the subgroup generated by the £th powers of the elements of the group. We shall extend this idea here to show that a metacyclic group whose commutator subgroup has order relatively prime to its index is characterized as a sol...

Abstract Let k be an algebraically closed field of prime characteristic p . $kGe$ a block group algebra finite G , with normal defect P and abelian $p'$ inertial quotient L Then we show that is matrix over quantised version the semidirect product certain subgroup To do this, first examine associated graded algebra, using Jennings–Quillen style theorem. As example, calculate basic nonprincipal i...

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping, described by utt −∆Mu+ a(x) g(ut) = 0 on M× ]0,∞[ , where M ⊂ R is a smooth (of class C) oriented embedded compact surface without boundary, such that M = M0 ∪M1, where M1 := {x ∈ M;m(x) · ν(x) > 0} and M0 = M\M1. Here, m(x) := x − x, (x ∈ R fixed) and ν is the exterior unit normal v...

We shall term a group G supersoluble if every homomorphic image H9*l of G contains a cyclic normal subgroup different from 1. Supersoluble groups with maximum condition, in particular finite supersoluble groups, have been investigated by various authors: Hirsch, Ore, Zappa and more recently Huppert and Wielandt. In the present note we want to establish the close connection between supersoluble ...

let h be a subgroup of a group g. h is said to be s-embedded in g if g has a normal t such that ht is an s-permutable subgroup of g and h ∩ t ≤ h sg, where h denotes the subgroup generated by all those subgroups of h which are s-permutable in g. in this paper, we investigate the influence of minimal s-embedded subgroups on the structure of finite groups. we determine the structure the finite grou...

in this paper, we deal with molaei’s generalized groups. we definethe notion of a fuzzy generalized subgroup with respect to a t-norm (ort-fuzzy generalized subgroup) and give some related properties. especially,we state and prove the representation theorem for these fuzzy generalizedsubgroups. next, using the concept of continuity of t-norms we obtain a correspondencebetween tf(g), the set of ...

Let $ G$ be a finite group and $p$ prime. \mathrm{Vo}(G) denote the set of orders vanishing elements, $\mathrm{Vo}_{p} (G)$ subset consisting those elements divisible by $\mathrm{Vo}_{p'} (G) not $p$. Dolfi, Pacifi, Sanus Spiga proved that if is p $-power for all a\in \mathrm{Vo}(G)$, then G has normal Sylow $-subgroup. In another article, same authors also show \mathrm{Vo}_{p'}(G) =\emptyset $...

Abstract In this paper, we call a finite group G G an N L M NLM -group ( C NCM -group, respectively) if every non-normal cyclic subgroup of prime order or 4 (prime power order, in is contained maximal . Using the property -groups and -groups, give new necessary suffic...