Publication Date:
2015-03-11
Description:
Let G be a finite primitive permutation group and let ( G ) be the number of conjugacy classes of derangements in G . By a classical theorem of Jordan, ( G ) 〉= 1. In this paper, we classify the groups G with ( G )=1, and we use this to obtain new results on the structure of finite groups with an irreducible complex character that vanishes on a unique conjugacy class. We also obtain detailed structural information on the groups with ( G )=2, including a complete classification for almost simple groups.
Print ISSN:
0033-5606
Electronic ISSN:
1464-3847
Topics:
Mathematics
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