Open AccessIntransitive Permutation Groups with Bounded Movement Having Maximum Degree
Author(s) -
Behnam Razzagh
Publication year - 2019
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v16i0.8091
Subject(s) - mathematics , permutation (music) , bounded function , combinatorics , permutation group , integer (computer science) , degree (music) , set (abstract data type) , cyclic permutation , group (periodic table) , primitive permutation group , symmetric group , discrete mathematics , mathematical analysis , chemistry , physics , organic chemistry , acoustics , computer science , programming language
Let G be a permutation group on a set with no fixed points in and let m be a positive integer. If for each subset of the size is bounded, for , we define the movement of g as the max over all subsets of . In this paper we classified all of permutation groups on set of size 3m + 1 with 2 orbits such that has movement m . 2000 AMS classification subjects: 20B25