Isotypies for p-blocks with non-abelian metacyclic defect groups, p odd

JOURNAL OF ALGEBRA

卷:535

Article

Tasaka, Fuminori¹  Watanabe, Atumi² 

[1] Natl Inst Technol, Tsuruoka Coll, 104 Sawada, Tsuruoka, Yamagata 9978511, Japan

[2] Kumamoto Univ, Chuo Ku, 1-16-37-403 Toroku, Kumamoto 8620970, Japan

关键词: Isotypy;    Non-abelian metacyclic defect group;    Hyperfocal subgroup;    Rouquier's conjecture;   

DOI  :  10.1016/j.jalgebra.2019.05.041

来源: Elsevier

【 摘 要 】

Let p be an odd prime, G be a finite group and b be a p-block of G with non-abelian metacyclic defect group P. Then it is known that a hyperfocal subgroup Q of b is cyclic. In this study motivated by Rouquier's conjecture on blocks with abelian hyperfocal subgroups, we show that b is isotypic to its Brauer correspondents in N-G (P) and N-G(Q). (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free