Linear p- Brauer characters and p-blocks. (3rd April 2017)

• Record Type: Journal Article
• Authors: Chen, Xiaoyou; Zeng, Jiwen
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 20:Number 3(2017)
• Page Start: 637
• Page End: 643
• Publication Date: 2017-04-03
• Subjects: p-Brauer character -- linear p-Brauer character -- p-block; 20C15 -- 20C20; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2015.1130476
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: Let G be a finite group and p a prime divisor of | G |. Denote by IBr( G ) and LBr( G ) the sets of irreducible p -Brauer characters and linear p -Brauer characters of G, respectively. It is known that IBr( G ) = LBr( G ) if and only if P ∈ Syl p ( G ) is normal and G/P is abelian. We consider the local situation in this note. Let B be a p -block of G . We characterize the finite groups G with IBr( B ) ⊆ LBr( G ). And we get some results related to those of Holm, Willems and Isaacs, Smith.