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The Theory of Infinite Soluble Groups

John C. Lennox and Derek J. S. Robinson

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198507284
eISBN:
9780191709326
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507284.001.0001
Subject:
Mathematics, Pure Mathematics

This book provides a comprehensive account of the theory of infinite soluble groups, from its foundations up to research level. Topics covered include: polycyclic groups, Cernikov groups, Mal’cev ... More


BASIC RESULTS ON SOLUBLE AND NILPOTENT GROUPS

John C. Lennox and Derek J. S. Robinson

in The Theory of Infinite Soluble Groups

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198507284
eISBN:
9780191709326
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507284.003.0001
Subject:
Mathematics, Pure Mathematics

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.


FINITENESS CONDITIONS ON ABELIAN SUBGROUPS

John C. Lennox and Derek J. S. Robinson

in The Theory of Infinite Soluble Groups

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198507284
eISBN:
9780191709326
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507284.003.0006
Subject:
Mathematics, Pure Mathematics

This chapter talks about soluble groups whose abelian subgroups satisfy finiteness conditions. It also goes into detail about the theorems of Baer, Cernikov, Mal’cev, and Schmidt.


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