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Bulletin of the London Mathematical Society Advance Access originally published online on September 23, 2009
Bulletin of the London Mathematical Society 2009 41(5):916-926; doi:10.1112/blms/bdp072
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© 2009 London Mathematical Society

The structure of finite groups of conjugate rank 2

Silvio Dolfi

Dipartimento di Matematica U. Dini
Università degli Studi di Firenze
viale Morgagni 67/a
50134 Firenze
Italy

Enrico Jabara

Dipartimento di Matematica Applicata
Università Ca’Foscari
Dorsoduro 3825/e
30123 Venezia
Italy
jabara@unive.it

Received 26 November 2008. Revision received 27 May 2009.

We give a structure theorem for the finite groups with three conjugacy class sizes. In particular, they are solvable groups with derived length at most 3 or nilpotent groups.

2000 Mathematics Subject Classification 20E45, 20D60.

The authors were partially supported by the MIUR project ‘Teoria dei gruppi e applicazioni’.


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