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Suborbits in Infinite Primitive Permutation Groups
Author(s) -
Evans David M.
Publication year - 2001
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/s002460930100830x
Subject(s) - mathematics , permutation group , permutation (music) , construct (python library) , combinatorics , primitive permutation group , group (periodic table) , cyclic permutation , von neumann architecture , pure mathematics , symmetric group , computer science , chemistry , physics , organic chemistry , acoustics , programming language
For every infinite cardinal κ, we construct a primitive permutation group which has a finite suborbit paired with a suborbit of size κ. This answers a question of Peter M. Neumann. 2000 Mathematics Subject Classification 20B07, 20B15, 03C50, 05C20.