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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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SOLUBLE LINEAR GROUPS

SOLUBLE LINEAR GROUPS

Chapter:
(p.47) 3 SOLUBLE LINEAR 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/9780198507284.003.0003

This chapter goes into detail about the Mal’cev’s theorem on soluble linear groups over fields. It also discusses soluble groups of matrices over the integers and the Auslander-Swan theorem on polycyclic groups.

Keywords:   Mal’cev, soluble linear group, Auslander-Swan theorem, polycyclic groups, soluble groups

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