Isoclinic Classification of Some Pairs $(G,G')$ of $p$-Groups

Author(s):

S. Kayvanfar* , A. Kaheni

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:13 Issue: 2, Nov 2018
Pages:
133 to 142
https://www.magiran.com/p1897893