Certain functors for some $p$-groups of class two with derived subgroup of order $p^2$

Document Type : Original Manuscript

Authors
1 ‎Department of ‎Mathematics‎, Faculty of Mathematical Sciences and ‎Statistics, ‎‎University of ‎Birjand‎, Birjand‎, Iran
2 Center of Mathematics‎, ‎Computer Science and Cognition}‎, ‎{Federal University of ABC‎, ‎Av. dos Estados‎, ‎5001‎ -- ‎Bang'u‎ ,‎Santo Andr'e,09210-580,} {S~ao Paulo,Brazil
10.22034/mmr.2026.131057.0
Abstract
‎Let $G$ be a finite $d$-generator $p$-group of class two such that $ G/G' $ is elementary abelian and $G'cong mathbb{Z}_poplus mathbb{Z}_p.$ The aim of the present work is to characterize the exact structure of some functors including the Schur multiplier‎, ‎the non-abelian tensor square‎, ‎and the non-abelian exterior square of $ G‎. ‎$ We also give the corank of $G.$‎
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Articles in Press, Accepted Manuscript
Available Online from 25 September 2026