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On The Number of Conjugacy Classes of a Finite Solvable Group
Author(s) -
Héthelyi László,
Külshammer Burkhard
Publication year - 2000
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/s0024609300007499
Subject(s) - mathematics , conjugacy class , solvable group , order (exchange) , prime (order theory) , finite group , mathematics subject classification , combinatorics , group (periodic table) , pure mathematics , abelian group , chemistry , organic chemistry , finance , economics
We prove that a finite solvable group whose order is divisible by a prime p has at least conjugacy classes. 2000 Mathematics Subject Classification 20C15, 20D10, 20F16.