Real Blocks with Dihedral Defect Groups Revisited

verfasst von

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.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Typ

Artikel

Journal

Bulletin of the Australian Mathematical Society

Band

109

Seiten

327-341

Anzahl der Seiten

15

ISSN

0004-9727

Publikationsdatum

04.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Mathematik (insg.)

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2304.14639 (Zugang: Offen)
https://doi.org/10.1017/S0004972723000436 (Zugang: Offen)