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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 II

THE THEORY OF FINITELY GENERATED SOLUBLE GROUPS II

Chapter:
(p.121) 7 THE THEORY OF FINITELY GENERATED SOLUBLE GROUPS II
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/9780198507284.003.0007

This chapter discusses simple modules over polycyclic groups, the Jategaonkar-Roseblade theorem, the Artin-Rees property, and residual finiteness. It also talks about the Frattini subgroup.

Keywords:   simple module, polycyclic groups, Jategaonkar-Roseblade theorem, Artin-Rees property, residual finiteness, Frattini subgroup

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