Journal of Advanced Research in Pure Mathematics, Volume (6), No (1), Year (2014-2) , Pages (1-6)

Title : ( Capability of nite nilpotent groups of class 2 with cyclic Frattini subgroups )

Authors: azam kaheni , Rasoul Hatamian , Saeed Kayvanfar ,
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Abstract

A group is called capable if it is a central factor group. Let N denote the set of all finite groups of nilpotency class 2 whose derived subgroups be cyclic and coincide with their Frattini subgroups. This paper is organized to provide the explicit structures of capable groups in N.

Keywords

, Capable groups, Extra special p-groups, Nilpotent groups, Schur multiplier