Intransitive Permutation Groups with Bounded Movement Having Maximum Degree

Behnam Razzagh

doi:10.24297/jam.v16i0.8136

Authors

Behnam Razzagh Islamic Azad University

DOI:

https://doi.org/10.24297/jam.v16i0.8136

Abstract

Let G be a permutation group on a set withno fixed points in and let m be a positive integer. If for each subset T of the size |T^g\T| is bounded, for gEG, we define the movement of g as the max|T^g\T| over all subsets T 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

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Author Biography

Behnam Razzagh, Islamic Azad University

Department of Mathematics Islamic Azad University,Talesh Branch,Talesh, Iran

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