Volume 13, Issue 2 (10-2018)                   IJMSI 2018, 13(2): 133-142 | Back to browse issues page

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Isoclinic Classification of Some Pairs $(G,G')$ of $p$-Groups
S. Kayvanfar , A. Kaheni
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.
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Type of Study: Research paper | Subject: Special
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