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Bulletin of the London Mathematical Society Advance Access originally published online on May 14, 2008
Bulletin of the London Mathematical Society 2008 40(4):568-580; doi:10.1112/blms/bdn016
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© 2008 London Mathematical Society

The probability of generating a nilpotent subgroup of a finite group

John S. Wilson

University College
Oxford
OX1 4BH
United Kingdom

Received 30 January 2007. Revision received 27 November 2007.

It is proved that for finite groups G the probability that two randomly chosen elements of G generate a nilpotent subgroup tends to 0 as the index of the Fitting subgroup of G tends to infinity.

2000 Mathematics Subject Classification 20D15, 20P05.


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