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The Primitive Permutation Groups of Squarefree Degree
Author(s) -
Li Cai Heng,
Seress Ákos
Publication year - 2003
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/s0024609303002145
Subject(s) - mathematics , square free integer , combinatorics , degree (music) , simple (philosophy) , simple group , rank (graph theory) , classification of finite simple groups , group of lie type , prime (order theory) , pure mathematics , group theory , philosophy , physics , epistemology , acoustics
The paper gives lists of all the primitive permutation groups of squarefree degree. All such groups are either solvable and act on a prime number of points, or are almost simple. Among the almost simple examples, the groups of Lie type have rank at most 2, or the point stabilizer is a parabolic subgroup. 2000 Mathematics Subject Classification 20B15.
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