Premium
The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup
Author(s) -
Li Cai Heng
Publication year - 2003
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611503014266
Subject(s) - mathematics , cyclic permutation , abelian group , permutation (music) , mathematics subject classification , permutation group , combinatorics , primitive permutation group , partial permutation , torsion subgroup , discrete mathematics , symmetric group , elementary abelian group , physics , acoustics
A complete classification is given of finite primitive permutation groups which contain an abelian regular subgroup. This solves a long‐standing open problem in permutation group theory initiated by W. Burnside in 1900. 2000 Mathematics Subject Classification 20B15, 20B30