Real Blocks with Dihedral Defect Groups Revisited

authored by

Benjamin Sambale

Abstract

The Frobenius–Schur indicators of characters in a real 2-block with dihedral defect groups have been determined by Murray [‘Real subpairs and Frobenius–Schur indicators of characters in 2-blocks’, J. Algebra 322 (2009), 489–513]. We show that two infinite families described in his work do not exist and we construct examples for the remaining families. We further present some partial results on Frobenius–Schur indicators of characters in other tame blocks.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Article

Journal

Bulletin of the Australian Mathematical Society

Volume

109

Pages

327-341

No. of pages

15

ISSN

0004-9727

Publication date

04.2024

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

General Mathematics

Electronic version(s)

https://doi.org/10.48550/arXiv.2304.14639 (Access: Open)
https://doi.org/10.1017/S0004972723000436 (Access: Open)