Let p be a prime number. We give the explicit structure of 2-nilpotent multiplier for each finite 2-generator p-group class two. Moreover, 2-capable groups in that are characterized.

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...

We study the notion of Schur multiplier a pair (N, L) Lie superalgebras and obtain some upper bounds concerning dimensions. Moreover, we characterize pairs finite dimensional (nilpotent) for whichfor t = 0; 1, where dim N (m|n).

An improvement of a bound of Yankosky (2003) is presented in this paper, thanks to a restriction which has been recently obtained by the authors on the Schur multiplier M(L) of a finite dimensional nilpotent Lie algebra L. It is also described the structure of all nilpotent Lie algebras such that the bound is attained. An important role is played by the presence of a derived subalgebra of maxim...

An improvement of a bound of Yankosky (2003) is presented in this paper, thanks to a restriction which has been recently obtained by the authors on the Schur multiplier M(L) of a finite dimensional nilpotent Lie algebra L. It is also described the structure of all nilpotent Lie algebras such that the bound is attained. An important role is played by the presence of a derived subalgebra of maxim...

Let G be a discrete abelian group on which there is a multiplier a: GxG -* T. It is shown that if all the irreducible representations of (G, a) are induced from 1-dimensional representations of subgroups then all of the representations of (G, a) are Type I. This represents the first step in the proof of the corresponding result for arbitrary discrete nilpotent groups.