Polynilpotent Multipliers of Some Nilpotent Products of Cyclic Groups

(c,1,...,1) Polynilpotent Multiplier of some Nilpotent Products of Groups

In this paper we determine the structure of (c,1,...,1) polynilpotent multiplier of certain class of groups. The method is based on the characterizing an explicit structure for the Baer invariant of a free nilpotent group with respect to the variety of polynilpotent groups of class row (c,1,...,1).

Some Inequalities for Nilpotent Multipliers of Powerful p-Groups

Capability of Some Nilpotent Products of Cyclic Groups

A group is called capable if it is a central factor group. We consider the capability of nilpotent products of cyclic groups, and obtain a generalisation of a theorem of Baer for the small class case. The approach may also be used to obtain some recent results on the capability of certain nilpotent groups of class 2. We also obtain a necessary condition for the capability of an arbitrary p-grou...

Capability of Nilpotent Products of Cyclic Groups

A group is called capable if it is a central factor group. We consider the capability of nilpotent products of cyclic groups, and obtain a generalization of a theorem of Baer for the small class case. The approach is also used to obtain some recent results on the capability of certain nilpotent groups of class 2. We also prove a necessary condition for the capability of an arbitrary p-group of ...

some inequalities for nilpotent multipliers of powerful p-groups