The $2$-blocks of defect $4$
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- by Burkhard Külshammer and Benjamin Sambale
- Represent. Theory 17 (2013), 226-236
- DOI: https://doi.org/10.1090/S1088-4165-2013-00433-8
- Published electronically: May 2, 2013
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Abstract:
We show that the major counting conjectures of modular representation theory are satisfied for $2$-blocks of defect at most $4$ except one possible case. In particular, we determine the invariants of such blocks.References
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Bibliographic Information
- Burkhard Külshammer
- Affiliation: Mathematisches Institut, Friedrich-Schiller-Universität, Germany
- Email: kuelshammer@uni-jena.de
- Benjamin Sambale
- Affiliation: Mathematisches Institut, Friedrich-Schiller-Universität, Germany
- MR Author ID: 928720
- ORCID: 0000-0001-9914-1652
- Email: benjamin.sambale@uni-jena.de
- Received by editor(s): February 7, 2012
- Published electronically: May 2, 2013
- © Copyright 2013 American Mathematical Society
- Journal: Represent. Theory 17 (2013), 226-236
- MSC (2010): Primary 20C15, 20C20
- DOI: https://doi.org/10.1090/S1088-4165-2013-00433-8
- MathSciNet review: 3048571