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

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

2011-01-13

arxiv.org/abs/1101.2503v2

Mathematics

Group Theory

11 pages

Scientific paper

In 1997, 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.

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