Details
| Original language | English |
|---|---|
| Pages (from-to) | 327-341 |
| Number of pages | 15 |
| Journal | Bulletin of the Australian Mathematical Society |
| Volume | 109 |
| Issue number | 2 |
| Early online date | 14 Jun 2023 |
| Publication status | Published - Apr 2024 |
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.
Keywords
- dihedral defect groups, Frobenius–Schur indicator, real blocks
ASJC Scopus subject areas
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In: Bulletin of the Australian Mathematical Society, Vol. 109, No. 2, 04.2024, p. 327-341.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Real Blocks with Dihedral Defect Groups Revisited
AU - Sambale, Benjamin
N1 - Funding Information: This work is supported by the German Research Foundation (SA 2864/4-1).
PY - 2024/4
Y1 - 2024/4
N2 - 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.
AB - 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.
KW - dihedral defect groups
KW - Frobenius–Schur indicator
KW - real blocks
UR - http://www.scopus.com/inward/record.url?scp=85162139291&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2304.14639
DO - 10.48550/arXiv.2304.14639
M3 - Article
AN - SCOPUS:85162139291
VL - 109
SP - 327
EP - 341
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
SN - 0004-9727
IS - 2
ER -