Title : ( Nilpotent Products of Cyclic Groups and Classification of $p$-Groups )
Authors: AZAM KAHENI , AZAM HOKMABADI , Saeed Kayvanfar ,
Full TextAbstract
In 1940, P. Hall defined an equivalence relation, called isoclinism, and applied it for classifying all p-groups of order at most p5 (p > 3) into ten families Φ1,Φ2, . . . and Φ10. This paper intends to characterize all the families which have the nilpotent products of cyclic groups in themselves, and then determine the exact structures of these products.
Keywords
, Nilpotent product of cyclic groups, Isoclinism, Classification of p-groups.
@inproceedings{paperid:1041037,
author = {AZAM KAHENI and AZAM HOKMABADI and Kayvanfar, Saeed},
title = {Nilpotent Products of Cyclic Groups and Classification of $p$-Groups},
booktitle = {The 44th Annual Iranian Mathematics Conference},
year = {2013},
location = {مشهد, IRAN},
keywords = {Nilpotent product of cyclic groups; Isoclinism; Classification
of p-groups.},
}
%0 Conference Proceedings
%T Nilpotent Products of Cyclic Groups and Classification of $p$-Groups
%A AZAM KAHENI
%A AZAM HOKMABADI
%A Kayvanfar, Saeed
%J The 44th Annual Iranian Mathematics Conference
%D 2013
