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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2018 Volume 14, 100, 8 pp. (Mi sigma1399)

This article is cited in 1 paper

Morita Equivalent Blocks of Symmetric Groups

Benjamin Sambale

Fachbereich Mathematik, TU Kaiserslautern, 67653 Kaiserslautern, Germany

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.

Keywords: Morita equivalence; Scopes classes; symmetric groups.

MSC: 20C30; 20C08

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

Language: English

DOI: 10.3842/SIGMA.2018.100



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