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The Theory of Infinite Soluble Groups
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The Theory of Infinite Soluble Groups

John C. Lennox and Derek J. S. Robinson

Abstract

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 completions, soluble linear groups, P. Hall’s theory of finitely generated soluble groups, soluble groups with finite rank, soluble groups whose abelian subgroups satisfy finiteness conditions, simple modules over polycyclic groups, the Jategaonkar-Roseblade theorem, centrality in finitely generated soluble groups and the Lennox-Roseblade theorem, algorithmic problems for polycyclic and metabelian gro ... More

Keywords: nilpotent group, polycyclic groups, Cernikov groups, Mal’cev completions, Jategaonkar-Roseblade theorem, Lennox-Roseblade theorem, vanishing theorems

Bibliographic Information

Print publication date: 2004 Print ISBN-13: 9780198507284
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198507284.001.0001

Authors

Affiliations are at time of print publication.

John C. Lennox, author
Research Fellow, Green College and Visiting Fellow, the Mathematical Institute, Oxford University

Derek J. S. Robinson, author
Professor of Mathematics, University of Illinois, Urbana, Illinois, USA