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Journal of the London Mathematical Society Advance Access published online on July 8, 2007
Journal of the London Mathematical Society, 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
martyn{at}mcs.st-andrews.ac.uk

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.

2000 Mathematics Subject Classification 20F22.

Received September 8, 2005; revised February 13, 2006;
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