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- Title
Character correspondences for symmetric groups and wreath products.
- Authors
Evseev, Anton
- Abstract
The Alperin-McKay conjecture relates irreducible characters of a block of an arbitrary finite group to those of its p-local subgroups. A refinement of this conjecture was stated by the author in a previous paper. We prove that this refinement holds for all blocks of symmetric groups. Along the way we identify a "canonical" isometry between the principal block of Spw and that of Sp ̾ Sw. We also prove a general theorem on expressing virtual characters of wreath products in terms of certain induced characters. Much of the paper generalises character-theoretic results on blocks of symmetric groups with abelian defect and related wreath products to the case of arbitrary defect.
- Subjects
SYMMETRIC matrices; WREATH products (Group theory); LOGICAL prediction; FINITE groups; ABELIAN functions
- Publication
Forum Mathematicum, 2017, Vol 29, Issue 3, p581
- ISSN
0933-7741
- Publication type
Article
- DOI
10.1515/forum-2013-0043