In this paper we present an explicit formula for the 2-nilpotent multiplier of a direct product of two Lie algebras.

number of generators of $G^n$. The purpose of this article is to

investigate the growth sequences of $G$, where $G=\\\\\\\\\\\\\\\\kcopy$ is the

free products of $k$ copies of the projective special linear simple

group $\\\\\\\\\\\\\\\\ps$, $m...

A capable group is a group that occurs as central factor group. In 1940 P. Hall emphasized that characterization of capable groups are important in classifying groups of prime power order. The present paper is devoted to ...

of groups, specially the direct

and the free products. This survey is from the beginning works of I.

Schur to the recent developments in the area....