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The Theory of Infinite Soluble Groups$
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John C. Lennox and Derek J. S. Robinson

Print publication date: 2004

Print ISBN-13: 9780198507284

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198507284.001.0001

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THE THEORY OF FINITELY GENERATED SOLUBLE GROUPS I

THE THEORY OF FINITELY GENERATED SOLUBLE GROUPS I

Chapter:
(p.60) 4 THE THEORY OF FINITELY GENERATED SOLUBLE GROUPS I
Source:
The Theory of Infinite Soluble Groups
Author(s):

John C. Lennox

Derek J. S. Robinson

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198507284.003.0004

This chapter talks about P. Hall’s theory of finitely generated abelian-by-polycyclic groups. It also discusses in detail maximal condition on normal subgroups, residual finiteness, and the Frattini and Fitting subgroups.

Keywords:   P. Hall, maximal condition on normal subgroups, Frattini and Fitting subgroups

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