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Defect zero characters predicted by local structure
Author(s) -
Malle Gunter,
Navarro Gabriel,
Robinson Geoffrey R.
Publication year - 2017
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms.12040
Subject(s) - mathematics , zero (linguistics) , prime (order theory) , combinatorics , block (permutation group theory) , order (exchange) , pure mathematics , discrete mathematics , philosophy , linguistics , finance , economics
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.