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Some notes on the Baer-invariant of a nilpotent product of groups
W.Haebich (Bull. Austral. Math. Soc., 7, 1972, 279-296) presented a formula for
the Schur multiplier of a regular product of groups. In this
paper first, it is shown that the Baer-invariant of a nilpotent
A remark on generalized covering groups
Let { cal N}_c be the variety of nilpotent groups of class at most c
(c geq 2) and G=Z_r oplus Z_s be the direct sum of two finite
cyclic groups. It is shown that if the greatest common divisor ...
THe Baer invariant of semidirect product
In 1972 K.I.Tahara [7,2 Theorem 2.2.5] , using cohomological method, showed
that if a finite group $G=T\\\\rhd\\\\!\\\\!\\\\! <N$ is the semidirect product of a normal
subgroup $N$ and a subgroup $T$ , ...
On the exponent of the Schur multiplier of a pair of groups
We present some bounds for the exponent of the Schur multiplier of
a pair of groups $(G,N)$ in terms of the exponent of $G$, when
$G$ is the semidirect product of $N$ by $Q$, and also in terms of
the ...
On multipliers of nilpotent products of groups
In this talk, we are going to survey structures of the Schur
multiplier, nilpotent and polynilpotent multipliers (the Baer
invariant with respect to nilpotent and polynilpotent varieties,
respectively) ...
Some applications of algebraic topological methods to group theory
In this talk, using properties of fundamental groups and covering
spaces of connected polyhedra, we present topological proof for some
famous theorems in group theory such as Nielsen-Schreier theorem,
Kurosh ...
On the order of Schur multiplier of finiteabelian p-groups
On the order of Schur multiplier of finiteabelian p-groups
Existence of polynilpotent covering groups of a polynilpotent group
Existence of polynilpotent civering groups of a polynilpotent group
On a conjecture of a bound for the exponent of the Schur multiplier of finite p-groups
On a conjecture of a bound for the exponent of the Schur multiplier of finite p-groups
The relative Schur multiplier with algebraic topological approach
The relative Schur multiplier with algebraic topological approach