Article citationsMore>>

S. Mahmood and A. Rajah, “Solving the Class Equation xd = β in an Alternating Group for each and ,” Journal of the Association of Arab Universities for Basic and Applied Sciences, Vol. 10, No. 1, 2011, pp. 42-50. doi:10.1016/j.jaubas.2011.06.006

has been cited by the following article:

• TITLE: Solving the Class Equation xd = β in an Alternating Group for Each β ∈ Cα ∩ Hnc and n > 1

  AUTHORS: Shuker Mahmood, Andrew Rajah

  KEYWORDS: Alternating Groups; Permutations; Conjugate Classes; Cycle Type; Frobenius Equation

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.2 No.2, June 29, 2012

  ABSTRACT: The main purpose of this paper is to solve the class equation in an alternating group, (i.e. find the solutions set ) and find the number of these solutions where ranges over the conjugacy class in and d is a positive integer. In this paper we solve the class equation in where , for all . is the complement set of where { of , with all parts of are different and odd}. is conjugacy class of and form class depends on the cycle type of its elements If and , then splits into the two classes of .