Title : ( Capability of nite nilpotent groups of class 2 with cyclic Frattini subgroups )
Authors: azam kaheni , Rasoul Hatamian , Saeed Kayvanfar ,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@article{paperid:1040537,
author = {Kaheni, Azam and Hatamian, Rasoul and Kayvanfar, Saeed},
title = {Capability of nite nilpotent groups of class 2 with cyclic Frattini subgroups},
journal = {Journal of Advanced Research in Pure Mathematics},
year = {2014},
volume = {6},
number = {1},
month = {February},
issn = {1943-2380},
pages = {1--6},
numpages = {5},
keywords = {Capable groups; Extra special p-groups; Nilpotent groups; Schur multiplier},
}
%0 Journal Article
%T Capability of nite nilpotent groups of class 2 with cyclic Frattini subgroups
%A Kaheni, Azam
%A Hatamian, Rasoul
%A Kayvanfar, Saeed
%J Journal of Advanced Research in Pure Mathematics
%@ 1943-2380
%D 2014