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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