Peer-Reviewed Journal Details
Mandatory Fields
Murray J.
2019
September
Journal of Algebra
Frobenius-Schur indicators of characters in blocks with cyclic defect
Published
0 ()
Optional Fields
Block theory Cyclic defect group Frobenius-Schur indicators Representations of finite groups
533
90
105
© 2019 Elsevier Inc. Consider a real block with cyclic defect of a finite group for an odd prime. We show that the exceptional characters have the same Frobenius-Schur indicators. Moreover the common value can be computed using the canonical character of the block. We also prove some results about the Frobenius-Schur indicators of the non-exceptional characters. If a finite group has cyclic Sylow p-subgroups, where p is an odd prime, we show that the number of irreducible characters with Frobenius-Schur indicator −1 is greater than or equal to the number of conjugacy classes of weakly real p-elements.
0021-8693
10.1016/j.jalgebra.2019.04.037
Grant Details