Defect zero characters predicted by local structure. Issue 3 (29th March 2017)

• Record Type: Journal Article
• Authors: Malle, Gunter; Navarro, Gabriel; Robinson, Geoffrey R.
• Is Part Of: Bulletin of the London Mathematical Society. Volume 49:Issue 3(2017)
• Page Start: 443
• Page End: 448
• Publication Date: 2017-03-29
• Subjects: 20C20 -- 20C15 (primary); Mathematics -- Periodicals; 510
• DOI: 10.1112/blms.12040
• Languages: English
• ISSNs: 0024-6093

Abstract

Abstract: Let G be a finite group and let p be a prime. Assume that there exists a prime q dividing | G | which does not divide the order of any p ‐local subgroup of G . If G is p ‐solvable or q divides p − 1, then G has a p ‐block of defect zero. The case q = 2 is a well‐known result by Brauer and Fowler.