Ensuring commutativity of finite groups

Authors
Neumann, BH
Citation
Bh. Neumann, Ensuring commutativity of finite groups, J AUS MAT A, 71, 2001, pp. 233-234
Citations number
2
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
71
Year of publication
2001
Part
2
Pages
233 - 234
Database
ISI
SICI code
0263-6115(200110)71:<233:ECOFG>2.0.ZU;2-0
Abstract
Comments 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 cardinali ty in and of a subset of cardinality n in G some member of the first commut es with some member of the second. Under what conditions on m, it is the gr oup abelian?