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arXiv:1101.2503 [math.GR]AbstractReferencesReviewsResources

On the Order of the Schur Multiplier of a Pair of Finite p-Groups

Azam Hokmabadi, Fahimeh Mohammadzadeh, Behrooz Mashayekhy

Published 2011-01-13, updated 2013-11-02Version 3

In 1998, G. Ellis defined the Schur multiplier of a pair $(G,N)$ of groups and mentioned that this notion is a useful tool for studying pairs of groups. In this paper, we characterize the structure of a pair of finite $p$-groups $(G,N)$ in terms of the order of the Schur multiplier of $(G,N)$ under some conditions.

Comments: 11 pages, to appear in Journal of Advanced Research in Pure Mathematics
Categories: math.GR
Subjects: 20E34, 20D15
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