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Element orders and character codegrees
Author(s) -
Qian Guohua
Publication year - 2021
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.12462
Subject(s) - character (mathematics) , mathematics , element (criminal law) , finite group , order (exchange) , group (periodic table) , pure mathematics , character table , combinatorics , algebra over a field , geometry , law , physics , political science , finance , quantum mechanics , economics
For an irreducible character χ of a finite group G , the codegree of χ is defined by | G : ker χ | / χ ( 1 ) . In this note, we show that if a finite solvable group G has an element of order m , then G admits an irreducible character of codegree divisible by m .