Completion of A Bijective Proof of the Alperin Weight Conjecture for S n when p=2

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초록

In this paper, we prove the Alperin weight conjecture for the symmetric group S (n) in a bijective way when p = 2. More precisely, we provide a bijection between the set of conjugacy classes of 2-weights for S (n) and the set of 2-regular partitions of n.

키워드

Alperin weight conjectureBrauer characterp-weightp-regular partitionSYMMETRIC-GROUPS
제목
Completion of A Bijective Proof of the Alperin Weight Conjecture for S n when p=2
저자
Choi, Seung-IlOh, Young-Tak
DOI
10.1007/s00026-015-0283-8
발행일
2015-12
유형
Article
저널명
Annals of Combinatorics
19
4
페이지
671 ~ 691