### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 14 (2018), 100, 8 pages      arXiv:1809.07467      https://doi.org/10.3842/SIGMA.2018.100
Contribution to the Special Issue on the Representation Theory of the Symmetric Groups and Related Topics

### Morita Equivalent Blocks of Symmetric Groups

Benjamin Sambale
Fachbereich Mathematik, TU Kaiserslautern, 67653 Kaiserslautern, Germany

Received April 16, 2018, in final form September 18, 2018; Published online September 20, 2018

Abstract
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.

Key words: Morita equivalence; Scopes classes; symmetric groups.

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