REAL BLOCKS WITH DIHEDRAL DEFECT GROUPS REVISITED

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 exi...

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 2024-04, Vol.109 (2), p.327-341
Main Author: SAMBALE, BENJAMIN
Format: Article
Language:English
Subjects:
Algebra
Defects
Indicators
Citations: Items that this one cites
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Summary: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.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972723000436