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On a result of Johnson about Schur multipliers
Published online by Cambridge University Press: 18 May 2009
Extract
The purpose of this short note is to give a new and shorter proof of the following theorem of Johnson [1], and to extend it somewhat.
Theorem 1. Let G be a finite non-cyclic p-group possessing a non-empty subset X such that, for each x in X, <X/{x}>G′ is a complement for <x> in G. Then the Schur multiplier of G is non-trivial.
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- Copyright © Glasgow Mathematical Journal Trust 1992
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