We consider a semidirect product of two locally compact groups S and T, with S Abelian, denoted by ST. An action of ST on S is introduced to make S a homogeneous space of ST. Then we define a unitary representation from ...

groups was given by A. Pourmirzaei, A. Hokmabadi and S. Kayvanfar. In this paper, we give a different characterization of capable pairs of finite abelian groups in terms of a condition on the lattice of subgroups....

Abstract. In this paper we introduce the non-coprime graph associated to the group G with vertex set } { \\ e G such

that two distinct vertices are adjacent whenever their orders are relatively non-coprime. ...

Conditions under which a function generates a multiresolution analysis are investigated.

In this paper, we present an explicit formula for

the Baer invariant of a finitely generated abelian group with

respect to the variety of polynilpotent groups of class row

(c_1, dots ,c_t) , { cal N}_{c_1, dots ,c...

This paper is an investigation of shift invariant subspaces of L2(G), where G is a locally

compact abelian group, or in general a local field, with a compact open subgroup. In

this paper we state necessary and sufficient conditions...

In this paper we define the generalised non-commuting graph Γ(H,K) , where H and K are two subgroups of a non-abelian group G. Take (H ∪ K) \\ (CH(K) ∪ CK(H)) as the vertices of the graph and two distinct vertices x and y join, whenever x or y...

In this paper we obtain an explicit formula for the {it higher

Schur-multiplicator }of an arbitrary finite abelian group with

respect to the

variety of nilpotent groups of class at most cgeq 1 ....

We use the explicit structure for the Baer invariant of a

finitely generated abelian group with respect to the variety

$[\\\\\\\\mathfrak{N}_{c_1},\\\\\\\\mathfrak{N}_{c_2}]$, for all $c_2\\\\\\\\leq c_1\\\\\\\\leq

2c_2...

In this paper we intoduce a vector-valued inner product on locally compact

abelian groups, which is applicable to time-frequency analysis and Weyl-

Heisenberg frames....