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Representation Theory
Representation Theory
ISSN 1088-4165

The $ 2$-blocks of defect $ 4$

Authors: Burkhard Külshammer and Benjamin Sambale
Journal: Represent. Theory 17 (2013), 226-236
MSC (2010): Primary 20C15, 20C20
Posted: 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.

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Additional Information

Burkhard Külshammer
Affiliation: Mathematisches Institut, Friedrich-Schiller-Universität, Germany

Benjamin Sambale
Affiliation: Mathematisches Institut, Friedrich-Schiller-Universität, Germany

PII: S 1088-4165(2013)00433-8
Keywords: $2$-blocks, Alperin's weight conjecture, OWC
Received by editor(s): February 7, 2012
Posted: May 2, 2013
Article copyright: © Copyright 2013 American Mathematical Society