Morita Equivalent Blocks of Symmetric Groups
A well-known result of Scopes states that there are only finitely many Morita equivalence classes of p-blocks of symmetric groups with a given weight (or defect). In this note, we investigate a lower bound on the number of those Morita equivalence classes.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2018 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209857 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Morita Equivalent Blocks of Symmetric Groups / B. Sambale // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862626993429807104 |
|---|---|
| author | Sambale, B. |
| author_facet | Sambale, B. |
| citation_txt | Morita Equivalent Blocks of Symmetric Groups / B. Sambale // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A well-known result of Scopes states that there are only finitely many Morita equivalence classes of p-blocks of symmetric groups with a given weight (or defect). In this note, we investigate a lower bound on the number of those Morita equivalence classes.
|
| first_indexed | 2025-12-07T13:38:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209857 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:38:04Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sambale, B. 2025-11-27T14:57:07Z 2018 Morita Equivalent Blocks of Symmetric Groups / B. Sambale // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 20C30; 20C08 arXiv: 1809.07467 https://nasplib.isofts.kiev.ua/handle/123456789/209857 https://doi.org/10.3842/SIGMA.2018.100 A well-known result of Scopes states that there are only finitely many Morita equivalence classes of p-blocks of symmetric groups with a given weight (or defect). In this note, we investigate a lower bound on the number of those Morita equivalence classes. The author would like to thank Susanne Danz for some valuable information on Scopes classes and Thomas Breuer for providing a GAP routine. Moreover, the author appreciates the useful comments by an anonymous referee. Parts of this work were written while the author was in residence at the Mathematical Sciences Research Institute in Berkeley (Spring 2018) with the kind support of the National Science Foundation (grant DMS-1440140). This work is also supported by the German Research Foundation (SA 2864/1-1 and SA 2864/3-1). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Morita Equivalent Blocks of Symmetric Groups Article published earlier |
| spellingShingle | Morita Equivalent Blocks of Symmetric Groups Sambale, B. |
| title | Morita Equivalent Blocks of Symmetric Groups |
| title_full | Morita Equivalent Blocks of Symmetric Groups |
| title_fullStr | Morita Equivalent Blocks of Symmetric Groups |
| title_full_unstemmed | Morita Equivalent Blocks of Symmetric Groups |
| title_short | Morita Equivalent Blocks of Symmetric Groups |
| title_sort | morita equivalent blocks of symmetric groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209857 |
| work_keys_str_mv | AT sambaleb moritaequivalentblocksofsymmetricgroups |