Article citationsMore>>

Y. G. Berkovich, “On the Number of Elements of Given Order in Finite p-Group,” Israel Journal of Mathematics, Vol. 73, No. 1, 1991, pp. 107-112. doi:10.1007/BF02773429

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 .