Iranian Journal of Mathematical Sciences and Informatics, Volume (13), No (2), Year (2018-11) , Pages (133-142)
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.
