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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Finite frattini factors in finitely generated Abelian-by-polycyclic groups


Author: John C. Lennox
Journal: Proc. Amer. Math. Soc. 41 (1973), 361-362
MSC: Primary 20F05
MathSciNet review: 0333004
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Abstract: A criterion for a group to be finite is used to prove that subgroups of finitely generated Abelian-by-polycyclic groups are finite if their Frattini factor groups are finite.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0333004-1
PII: S 0002-9939(1973)0333004-1
Keywords: Frattini subgroup, finitely generated Abelian-by-polycyclic group
Article copyright: © Copyright 1973 American Mathematical Society