Morita Equivalent Blocks of Symmetric Groups

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dc.contributor.authorSambale, B.
dc.date.accessioned2025-11-27T14:57:07Z
dc.date.issued2018
dc.description.abstractA 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.
dc.description.sponsorshipThe 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).
dc.identifier.citationMorita Equivalent Blocks of Symmetric Groups / B. Sambale // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.100
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 20C30; 20C08
dc.identifier.otherarXiv: 1809.07467
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209857
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleMorita Equivalent Blocks of Symmetric Groups
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік