Abstract

Let $F_{\\\\infty}$ be a free group on a countable set $\\\\{ x_1,x_2,\\\\cdots \\\\}$ and

${\\\\cal V}$ be a variety of groups, defined by the set of laws $V$,

in the free generators ...

We present an explicit structure for the Baer invariant of the

free n th nilpotent group (the n th nilpotent product of the

infinite cyclic group, textbf{ Z} st{n}* textbf{

Z} st{n}* ldots st{n}* textbf{ Z} ) with respect...

There are some considerable results on the Baer

invariants of perfect and varietal perfect groups. We define

sequences of varieties using a product of varieties. These

sequences give rise sequences of Baer invariants of some...

Let V and W be varieties of groups defined by the set of laws V and W and G be a W-perfect group, i.e. W(G)=G. Assume also that VM(G) and VP(G) are Baer invariants of G with respect to the variety V. In this talk we discuss about these two Baer...

In this article we obtain inequalities for the minimal number of

generators and the exponent of the Baer invariant of a finite group.

An equality for the order of the Baer invariant will also be

presented. These extend some main...

We consider a locally compact abelian group G with a uniform lattice L in G. In this paper necessary and

sufficient condition under which shifts of a finite numbers of functions {φ1, φ2, · · · , φn} in L

2

(G) ...

M.R.Jones and J.Wiegold in [3] have shown that if $G$ is a finite group with a

subgroup $H$ of finite index $n$ , then the $n$-th power of Schur multiplier

of $G$ , $M(G)^n$ , is isomorphic to a subgroup of ...