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Fixed‐Point‐Free p ‐Elements in Transitive Permutation Groups
Author(s) -
Bereczky Á.
Publication year - 1995
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/27.5.447
Subject(s) - mathematics , primitive permutation group , permutation (music) , permutation group , transitive relation , partial permutation , cyclic permutation , fixed point , combinatorics , order (exchange) , prime (order theory) , group (periodic table) , parity of a permutation , discrete mathematics , symmetric group , mathematical analysis , physics , acoustics , chemistry , organic chemistry , finance , economics
We give sufficient conditions for a finite permutation group to contain a fixed‐point‐free permutation of p ‐power order for a given prime p .
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