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The structure of finite groups of conjugate rank 2
Author(s) -
Dolfi Silvio,
Jabara Enrico
Publication year - 2009
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/bdp072
Subject(s) - mathematics , conjugacy class , nilpotent , rank (graph theory) , conjugate , class (philosophy) , pure mathematics , combinatorics , mathematical analysis , artificial intelligence , computer science
We give a structure theorem for the finite groups with three conjugacy class sizes. In particular, they are solvable groups with derived length at most 3 or nilpotent groups.