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A note on p ‐parts of character degrees
Author(s) -
Qian Guohua
Publication year - 2018
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.12164
Subject(s) - mathematics , character (mathematics) , pure mathematics , geometry
Let G be a finite group and p be a prime. Assume that G has no irreducible character of degree divisible by p 2 . Then| G / O p( G ) | p ⩽ p 3 .