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On defect groups for generalized blocks of the symmetric group
Author(s) -
Gramain Jean-Baptiste
Publication year - 2008
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdn023
Subject(s) - abelian group , block (permutation group theory) , mathematics , combinatorics , group (periodic table) , integer (computer science) , symmetric group , pure mathematics , physics , computer science , quantum mechanics , programming language
In a paper of 2003, Külshammer, Olsson and Robinson defined ℓ‐blocks for the symmetric groups, where ℓ>1 is an arbitrary integer. In this paper, we give a definition for the defect group of the principal ℓ‐block. We then check that, in the Abelian case, we have an analogue of one of Broué's conjectures.