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Bigenetic properties of finitely generated hyper- (Abelian-by-finite) groups

Published online by Cambridge University Press:  09 April 2009

J. C. Lennox
J. C. Lennox
Affiliation:
University College Cardiff, CFI IXL Wales
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Let be a class and p a property of groups. We say that p is a bigenetic property of p-groups (or more simply, p is bigenetic in p-groups) if an p-group G has the property p whenever all two-generator subgroups of G have p.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 3 , November 1973 , pp. 309 - 315
Copyright
Copyright © Australian Mathematical Society 1973

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