TWO IMPORTANT FORMULAE IN THE THEORY OF FINITE GROUPS

Journal: IMPACT : International Journal of Research in Applied, Natural and Social Sciences ( IMPACT : IJRANSS ) (Vol.1, No. 2)

Publication Date: 2013-07-31

Authors : DEBASISH PAL; DEBAJYOTI CHOUDHURI;

Page : 77-80

Keywords : Abelian Group; Direct Product; Prime Order; Symmetric Group;

Source : Download Find it from : Google Scholar

Abstract

In this paper we proposed two formulae to calculate the number of elements of prime order of a finite group. The first one is used to calculate the number of prime order elements of a given direct product representation of an Abelian group for a given positive integer. The second one is used to determine the total number of elements of prime order in a symmetric group Sn of degree n.

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TWO IMPORTANT FORMULAE IN THE THEORY OF FINITE GROUPS

Abstract

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