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The Brauer Indecomposability of Scott Modules for the Quadratic Group Qd(p)
| dc.contributor.author | Koshitani, Shigeo | |
| dc.contributor.author | Tuvay, Ipek | |
| dc.date.accessioned | 2025-01-09T20:14:24Z | |
| dc.date.available | 2025-01-09T20:14:24Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 1386-923X | |
| dc.identifier.issn | 1572-9079 | |
| dc.identifier.uri | https://doi.org/10.1007/s10468-018-9825-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14124/9040 | |
| dc.description.abstract | Let k be an algebraically closed field of prime characteristic p and P a finite p-group. We compute the Scott kG-module with vertex P when F is a constrained fusion system on P and G is Park's group for F. In the case that F is a fusion system of the quadratic group Qd(p) = (Z/p x Z/p) (sic) SL(2, p) on a Sylow p-subgroup P of Qd(p) and G is Park's group for F, we prove that the Scott kG-module with vertex P is Brauer indecomposable. | en_US |
| dc.description.sponsorship | Japan Society for Promotion of Science (JSPS) [15K04776]; Center for Frontier Science, Chiba University; Mimar Sinan Fine Arts University Scientific Research Project Unit [2017/22]; Grants-in-Aid for Scientific Research [15K04776] Funding Source: KAKEN | en_US |
| dc.description.sponsorship | The first author was supported in part by the Japan Society for Promotion of Science (JSPS), Grant-in-Aid for Scientific Research (C)15K04776, 2015-2018. The second author was partially supported by the Center for Frontier Science, Chiba University and Mimar Sinan Fine Arts University Scientific Research Project Unit with project number 2017/22. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Algebras and Representation Theory | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Scott module | en_US |
| dc.subject | Constrained fusion system | en_US |
| dc.subject | The quadratic group | en_US |
| dc.title | The Brauer Indecomposability of Scott Modules for the Quadratic Group Qd(p) | en_US |
| dc.type | article | en_US |
| dc.authorid | TUVAY, IPEK/0000-0002-7427-9310 | |
| dc.department | Mimar Sinan Güzel Sanatlar Üniversitesi | en_US |
| dc.identifier.doi | 10.1007/s10468-018-9825-1 | |
| dc.identifier.volume | 22 | en_US |
| dc.identifier.issue | 6 | en_US |
| dc.identifier.startpage | 1387 | en_US |
| dc.identifier.endpage | 1397 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.identifier.wosquality | Q4 | |
| dc.identifier.wos | WOS:000504321400004 | |
| dc.identifier.scopus | 2-s2.0-85053251237 | |
| dc.identifier.scopusquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.snmz | KA_20250105 |
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