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On the relative non-abelian tensor product of a pair of prime power groups. (English) Zbl 1352.19001

Summary: Let \((G,N)\) be a pair of prime power groups. We give a new upper bound for \(|N\otimes G|\), where \(N\otimes G\) is the non-abelian tensor product of \(N\) and \(G\). Among other results, the relative Schur multiplier of free product of groups is determined under some conditions.

MSC:

19C09 Central extensions and Schur multipliers
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