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Journal of the London Mathematical Society Advance Access originally published online on July 8, 2007
Journal of the London Mathematical Society 2007 75(3):597-609; doi:10.1112/jlms/jdm014
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© 2007 London Mathematical Society

Groups with virtually abelian proper quotients

Martyn Quick

School of Mathematics and Statistics
North Haugh
St Andrews
Fife KY16 9SS
United Kingdom

The just non-(virtually abelian) groups with non-trivial Fitting subgroup are classified. Particular attention is given to those which are virtually nilpotent and examples are given of the interesting phenomena that can occur.

martyn{at}mcs.st-andrews.ac.uk

2000 Mathematics Subject Classification 20F22.

Received September 8, 2005; revised February 13, 2006; published online July 8, 2007.


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