On defect groups for generalized blocks of the symmetric group
Abstract
In a paper of 2003, B. Külshammer, J. B. Olsson and G. R. Robinson defined $\ell$blocks for the symmetric groups, where $\ell >1$ is an arbitrary integer. In this paper, we give a definition for the defect group of the principal $\ell$block. We then check that, in the Abelian case, we have an analogue of one of M. Broué's conjectures.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2007
 arXiv:
 arXiv:math/0703157
 Bibcode:
 2007math......3157G
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Group Theory;
 20C30 (Primary) 20C15;
 20C20 (Secondary)
 EPrint:
 18 pages