TY - JOUR

T1 - Morita equivalent blocks of symmetric groups

AU - Sambale, Benjamin

N1 - Funding information: The author likes to thank Susanne Danz for some valuable information on Scopes classes and Thomas Breuer for providing a GAP routine. Moreover, the author appreciates 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 by 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).

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Morita equivalence

KW - Scopes classes

KW - Symmetric groups

UR - http://www.scopus.com/inward/record.url?scp=85055044963&partnerID=8YFLogxK

U2 - 10.3842/SIGMA.2018.100

DO - 10.3842/SIGMA.2018.100

M3 - Article

AN - SCOPUS:85055044963

VL - 14

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SN - 1815-0659

M1 - 100,

ER -