Title : ( Isoclinic classification of some pairs (G, G`) of p-groups )
Authors: azam kaheni , Saeed Kayvanfar ,
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Abstract
The equivalence relation isoclinism partitions the class of all pairs of groups into families. In this paper, a complete classification of the set of all pairs $(G,G')$ is established, whenever $G$ is a $p$-group of order at most $p^5$ and $p$ is a prime number greater than 3. Moreover, the classification of pairs $(H,H')$ for extra special $p$-groups $H$ is also given.
Keywords
, Pairs of groups, Isoclinism, Classification of p-groups
@article{paperid:1065571,
author = {Kaheni, Azam and Kayvanfar, Saeed},
title = {Isoclinic classification of some pairs (G, G`) of p-groups},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
year = {2018},
volume = {13},
number = {2},
month = {November},
issn = {1735-4463},
pages = {133--142},
numpages = {9},
keywords = {Pairs of groups; Isoclinism; Classification of p-groups},
}
%0 Journal Article
%T Isoclinic classification of some pairs (G, G`) of p-groups
%A Kaheni, Azam
%A Kayvanfar, Saeed
%J Iranian Journal of Mathematical Sciences and Informatics
%@ 1735-4463
%D 2018
