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Paper detail

On defect groups for generalized blocks of the symmetric group

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.

preprint2007arXivOpen access
Jean-Baptiste Gramain
math.RTmath.GR
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Jean-Baptiste Gramain

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