The subgroup of the Schur multiplier of a finite group G consisting of all cohomology classes whose restriction to any abelian subgroup of G is zero is called the Bogomolov multiplier of G. We prove that if G is quasisimple or almost simple, its Bogomolov multiplier is trivial except for the case of certain covers of PSL(3, 4).

In this note, we announce a new result concerning functions operating on multiplier algebras. We begin by introducing the following notation. Let G be a LCA group with dual group I\ M(G) will denote the algebra of finite, regular Borel measures on G. Let M0(G) = {M E M(G)\ jl vanishes at <*> on T}. If 1 < p < °°, let M (G) denote the class of multiplier transformations on L (G). If T G Mp(G), f...

For a family of functions G, we define the G-variation, which generalizes power variation; G-variation swaps, which pay the G-variation of the returns on an underlying share price F ; and share-weighted G-variation swaps, which pay the integral of F with respect to G-variation. For instance, the case G(x) = x reduces these notions to, respectively, quadratic variation, variance swaps, and gamma...

Given an inductive limit group G = lim → Gβ , β ∈ Γ where each Gβ is locally compact, and a continuous two–cocycle ρ ∈ Z(G, T) , we construct a C*–algebra L for which the twisted discrete group algebra C∗ ρ (Gd) is imbedded in its multiplier algebra M(L) , and the representations of L are identified with the strong operator continuous ρ–representations of G . If any of these representations are...

Let G denote a locally compact Hausdorff abelian group. Then a bounded linear operator T from L^2(G) into L^2(G) is a bounded multiplier operator if, under the Fourier transform on L^2(G ), for each function f in L^2(G), T(f) changes into a bounded function U times the Fourier transform of f. Then U is called the multiplier of T. An unbounded multiplier operator has a similar definition, but it...

‎let $g$ be a finite $p$-group and $n$ be a normal subgroup of $g$ with‎ ‎$|n|=p^n$ and $|g/n|=p^m$‎. ‎a result of ellis (1998) shows‎ ‎that the order of the schur multiplier of such a pair $(g,n)$ of finite $p$-groups is bounded‎ ‎by $ p^{frac{1}{2}n(2m+n-1)}$ and hence it is equal to $‎ ‎p^{frac{1}{2}n(2m+n-1)-t}$ for some non-negative integer $t$‎. ‎recently‎, ‎the authors have characterized...

in this note‎, ‎we aim to show that several known generalizations of frames are equivalent to the continuous frame‎ ‎defined by ali et al‎. ‎in 1993‎. ‎indeed‎, ‎it is shown that these generalizations can be considered as an operator between two hilbert spaces‎.

let $g$ be a $p$-group of nilpotency class $k$ with finite exponent $exp(g)$ and let $m=lfloorlog_pk floor$. we show that $exp(m^{(c)}(g))$ divides $exp(g)p^{m(k-1)}$, for all $cgeq1$, where $m^{(c)}(g)$ denotes the c-nilpotent multiplier of $g$. this implies that $exp( m(g))$ divides $exp(g)$, for all finite $p$-groups of class at most $p-1$. moreover, we show that our result is an improvement...

C is called a completely bounded multiplier (= Herz-Schur multiplier) if the transformation defined on the linear span K(G) of {λ(x), x ∈ G} by x∈G f (x)λ(x) → x∈G f (x)ϕ(x)λ(x) is completely bounded (in short c.b.) on the C *-algebra C * λ (G) which is generated by λ (C * λ (G) is the closure of K(G) in B(ℓ 2 (G), ℓ 2 (G)).) One of our main results (stated below as Theorem 0.1) gives a simple ...