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Heights of Characters in Blocks of p ‐Solvable Groups
Author(s) -
Moretó Alexander,
Navarro Gabriel
Publication year - 2005
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/s0024609305004236
Subject(s) - mathematics , solvable group , pure mathematics , combinatorics , abelian group
In this paper, it is proved that if B is a Brauer p ‐block of a p ‐solvable group, for some odd prime p , then the height of any ordinary character in B is at most 2 b , where p b is the largest degree of the irreducible characters of the defect group of B . Some other results that relate the heights of characters with properties of the defect group are obtained. 2000 Mathematics Subject Classification 20C15, 20C20.