The heights of irreducible Brauer characters in 2-blocks of the symmetric groups

被引：2

作者：

Kiyota, Masao ^{[2
]}

Okuyama, Tetsuro ^{[3
]}

Wada, Tomoyuki ^{[1
]}

机构：

[1] Tokyo Univ Agr & Technol, Dept Math, Koganei, Tokyo 1848588, Japan

[2] Tokyo Med & Dent Univ, Coll Liberal Arts & Sci, Ichikawa, Chiba 2720827, Japan

[3] Hokkaido Univ, Math Lab, Asahikawa, Hokkaido 0700825, Japan

来源：

JOURNAL OF ALGEBRA | 2012年 / 368卷

关键词：

Symmetric group; 2-Block; Height; Green correspondence; Decomposition number; Cartan matrix; Eigenvalue; CARTAN-MATRICES; BLOCKS; EQUIVALENCES; EIGENVALUES; VERTICES;

D O I：

10.1016/j.jalgebra.2012.07.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that there exists a unique irreducible Brauer character of height zero in any 2-blocks of the symmetric group. This generalizes the theorem of P. Fong and G.D. James that the dimension of every non-trivial 2-modular simple module of the symmetric group is even. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：329 / 344

页数：16

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