Title of article :
Solvable intransitive permutation groups with constant movement
Author/Authors :
Rezaei ، Mehdi Department of Mathematics - Buein Zahra Technical University , Alaeiyan ، Mehdi Department of Mathematics - Iran University of Science and Technology , Foruzanfar ، Zeinab Department of Mathematics - Buein Zahra Technical University
Abstract :
In this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic p-group, an elementary abelian p-group, a Frobenius group of order 12 or a Frobenius group of order pq, where p and q are primes such that p=q(q-1)+1.
Keywords :
Permutation group , orbit , constant movement , frobenius group
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
