Extensions of a problem of Paul Erdös on groups-Reference-Cited by-同舟云学术

Extensions of a problem of Paul Erdös on groups

Published:1981-12 Issue:4 Volume:31 Page:459-463
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Lennox John C.,Wiegold James

Abstract

AbstractThe main results are as follows. A finitely generated soluble group G is polycyclic if and only if every infinite set of elements of G contains a pair generating a polycyclic subgroup; and the same result with “polycyclic” replaced by “coherent”.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

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3. Finite-by-nilpotent groups

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

5. Newman M. F. (unpublished), ‘A theorem of Goled-Šfarevič and an application in group theory’.

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