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arXiv:math/0703157 [math.RT]AbstractReferencesReviewsResources

On defect groups for generalized blocks of the symmetric group

Jean-Baptiste Gramain

Published 2007-03-06, updated 2007-12-04Version 2

In a paper of 2003, B. K\"ulshammer, 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. Brou\'e's conjectures.

Comments: 18 pages
Journal: Journal of the London Mathematical Society, vol 78 (2008), no. 1, pp. 155-171
Categories: math.RT, math.GR
Subjects: 20C30, 20C15, 20C20
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