Details
Original language | English |
---|---|
Article number | 100, |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 14 |
Publication status | Published - 2018 |
Externally published | Yes |
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
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Mathematical Physics
- Mathematics(all)
- Geometry and Topology
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In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 14, 100, 2018.
Research output: Contribution to journal › Article › Research › peer review
}
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 -