Details
| Original language | English |
|---|---|
| Pages (from-to) | 41-53 |
| Number of pages | 13 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 150 |
| Issue number | 1 |
| Early online date | 12 Oct 2021 |
| Publication status | Published - 2022 |
Abstract
We classify principal blocks of finite groups with semidihedral defect groups up to splendid Morita equivalence. This completes the classification of all principal 2-blocks of tame representation type up to splendid Morita equivalence and shows that Puig’s Finiteness Conjecture holds for such blocks.
Keywords
- Scott module, Semidihedral 2-group, Splendid Morita equivalence
ASJC Scopus subject areas
- Mathematics(all)
- Mathematics(all)
- Applied Mathematics
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In: Proceedings of the American Mathematical Society, Vol. 150, No. 1, 2022, p. 41-53.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Splendid Morita equivalences for principal blocks with semidihedral defect groups
AU - Koshitani, Shigeo
AU - Lassueur, Caroline
AU - Sambale, Benjamin
N1 - Funding Information: Received by the editors October 16, 2020, and, in revised form, March 30, 2021. 2020 Mathematics Subject Classification. Primary 20C05, 20C20, 20C15, 20C33, 16D90. Key words and phrases. Splendid Morita equivalence, semidihedral 2-group, Scott module. The first author was partially supported by the Japan Society for Promotion of Science (JSPS), Grant-in-Aid for Scientific Research (C)19K03416, 2019–2021. The second was supported by DFG SFB/TRR 195. The third author was supported by the DFG grants SA 2864/1-2 and SA 2864/3-1.
PY - 2022
Y1 - 2022
N2 - We classify principal blocks of finite groups with semidihedral defect groups up to splendid Morita equivalence. This completes the classification of all principal 2-blocks of tame representation type up to splendid Morita equivalence and shows that Puig’s Finiteness Conjecture holds for such blocks.
AB - We classify principal blocks of finite groups with semidihedral defect groups up to splendid Morita equivalence. This completes the classification of all principal 2-blocks of tame representation type up to splendid Morita equivalence and shows that Puig’s Finiteness Conjecture holds for such blocks.
KW - Scott module
KW - Semidihedral 2-group
KW - Splendid Morita equivalence
UR - http://www.scopus.com/inward/record.url?scp=85122042879&partnerID=8YFLogxK
U2 - 10.1090/proc/15631
DO - 10.1090/proc/15631
M3 - Article
AN - SCOPUS:85122042879
VL - 150
SP - 41
EP - 53
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 1
ER -