On Blocks with One Simple Module in Any Brauer Correspondent

✍ Scribed by L. Puig; A. Watanabe

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 127 KB
• Volume: 163
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1994.1009

✦ Synopsis

We prove that a block of a finite group such that the defect groups are abelian and all the Brauer correspondents (the block itself included) have a unique isomorphism class of simple modules is nilpotent. (C) 1994 Academic Press, Inc.