Ensuring commutativity of finite groups

Author:

Neumann B. H.

Abstract

AbstractComments are made on the following question. Let m, n be positive integers and g a finite group. Suppose that for all choices of a subset of cardinality m and of a subset of cardinality n in g some member of the first commutes with some member of the second. Under what conditions on m, n is the group abelian?

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference2 articles.

1. Nilpotent Numbers

2. [1] Bell H. E. and Klein A. A. , ‘Combinatorial commutativity and finiteness for rings II’, Preprint.

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4. Finite groups with a nilpotency condition;Journal of Algebra and Its Applications;2021-12-28

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