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Finite Groups Have Many Conjugacy Classes
Author(s) -
Pyber L.
Publication year - 1992
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-46.2.239
Subject(s) - conjugacy class , mathematics , pure mathematics
We prove that every group of order n contains at least ɛ log n /(log log n ) 8 conjugacy classes for some fixed ɛ > 0. This essentially settles an old problem of Brauer.