Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar (India) E-mail: joshipankajkumar@gmail.com
Mathematical Subject Classification (2010): 11N05, 20B30, 20B35.
In this paper, a bound on the order of highest order element in a permutation group has been obtained. These bounds are helpful in finding the order of maximal cyclic subgroup and the number of maximal cyclic subgroups in a permutation group. A bound on the order of intersection of two maximal cyclic subgroups is also discussed.
Permutation group, Order of an element, Cyclic subgroup
