Morita Equivalent Blocks of Symmetric Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Sambale, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209857
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Morita Equivalent Blocks of Symmetric Groups / B. Sambale // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ.

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.