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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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BASIC RESULTS ON SOLUBLE AND NILPOTENT GROUPS

BASIC RESULTS ON SOLUBLE AND NILPOTENT GROUPS

Chapter:
(p.1) 1 BASIC RESULTS ON SOLUBLE AND NILPOTENT GROUPS
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/9780198507284.003.0001

This chapter provides an introduction to soluble and nilpotent groups. It discusses the properties of the upper and lower central series and talks about polycyclic groups and Cernikov groups.

Keywords:   upper central series, lower central series, polycyclic groups, Cernikov groups

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