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A Smaller Bound on the Exponent of the Nilpotent Multiplier of Some Prime Power Groups
Determining an upper bound for the exponent of the Schur multiplier
and its generalization, the nilpotent multiplier, of a finite group
are of interest. In 1974 M.R.Jones [2] attained an upper bound for
the exponent of the Schur...
Some inequalities for the order of the Schur multiplier of a pair of groups
Some inequalities for the order of the Schur multiplier of a pair of groups are studid....
Some functorial properties of nilpotent multipliers
In this paper, we are going to look at the $c$-nilpotent multiplier of a group $G$,
${\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\cal N}_cM(G)$, as a functor from the category of all groups, ${\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\cal G}roup$, to the category...
The Structure of the Generalized Nilpotent Multipliers of Perfect Groups
In 1939 P.Hall introduced the concept of isoclinism in order to
classify solvable groups.The basic tool for this classification
is the concept of nilpotent multiplier. Subsequently P.Hall
introduced a more general notion...
A Bound for the Exponent of the Schur Multiplier of some finite p-Groups
A Bound for the Exponent of the Schur Multiplier of some finite p-Groups...
Some functorial properties of nilpotent multipliers
Some functorial properties of nilpotent multipliers...
2-Nilpotent multipliers of a direct product of Lie algebras
In this paper we present an explicit formula for the 2-nilpotent multiplier of a direct product of two Lie algebras....
On the Exponent of Nilpotent Multipliers of Finite p-Groups
In this talk, by a historical reviewing on given bounds for the exponent of the Schur
multiplier of a finite p -group, we present recent developments in
the subject. Also, we give a bound for the exponent of the c -nilpotent...
On a Conjecture of a Bound for the Exponent of the Schur Multiplier of a Finite p -Group
-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 of some previous bounds for the exponent of
M^{(c)}(G) given by M...
On the order of Schur Multipliers of Finite Abelian p-Groups
Let $G$ be a finite $p$-group of order $p^{n}$ with
$|M(G)|=p^{\\\\\\\\frac{n(n-1)}{2}-t},$ where $M(G)$ is the Schur
multiplier of $G$. Ya.G. Berkovich, X. Zhou, and G. Ellis have
determined the structure of $G$ when $t=0...