On centres of 3-blocks of the Ree groups 2G2(q)

[摘要] Let G := (2)G(2)(q) be the simple Ree group with q = 3(2k+1) and k a positive integer. We show that the centre of the principal block Z(kGe(0)), where k is an algebraically closed field of characteristic 3, is not isomorphic to the centre of the Brauer corresponding block Z(kN(G)(P)), where N-G(P) is the normaliser in G of a Sylow 3-subgroup. (C) 2017 Elsevier Inc. All rights reserved.

[发布日期] 2017-12-15

[关键词] Blocks;Characters;Finite groups;Loewy length