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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 100, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.100 (Mi sigma1399) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Morita Equivalent Blocks of Symmetric Groups

Benjamin Sambale

Fachbereich Mathematik, TU Kaiserslautern, 67653 Kaiserslautern, Germany
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DOI: https://doi.org/10.3842/SIGMA.2018.100
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.
Funding agency Grant number
National Science Foundation DMS-1440140
Deutsche Forschungsgemeinschaft SA 2864/1-1
SA 2864/3-1
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).
Received: April 16, 2018; in final form September 18, 2018; Published online September 20, 2018
Bibliographic databases:
Document Type: Article
MSC: 20C30; 20C08
Language: English
Citation: Benjamin Sambale, “Morita Equivalent Blocks of Symmetric Groups”, SIGMA, 14 (2018), 100, 8 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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