Abstract
Suppose that both n and q are even. We show that the finite simple group is strongly real if and only if 4|n. We also prove that the unipotent elements in the finite simple group
are strongly real.
Received: 2008-10-22
Revised: 2010-03-01
Published Online: 2010-07-21
Published in Print: 2011-January
© de Gruyter 2011
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Articles in the same Issue
- Conway's group and octonions
- Strongly real elements of orthogonal groups in even characteristic
- A rigid triple of conjugacy classes in G2
- On the shortest identity in finite simple groups of Lie type
- Solomon's induction in quasi-elementary groups
- Character degree sums in finite nonsolvable groups
- Decomposing tensor products and exterior and symmetric squares
- On representations of groups of odd order
- An existence criterion for Hall subgroups of finite groups
- Covering certain wreath products with proper subgroups
- Totally imprimitive permutation groups with the cyclic-block property
- On representations of Artin–Tits and surface braid groups
- On Property (FA) for wreath products