Distinct Products of Triples in Finite Groups

Authors

Curtis Z. Mitchell

Document Type

Article

Publication Date

12-1994

First Advisor

Gary Sherman

Abstract

Let G be a finite group and let D_i(G) be the proportion of triples ( x , y , z ) of elements in G such that the cardinality of { xyz , xzy , yxz, yzx , zxy , zyx } is i. In this paper we show that:

i) The average value of D_i is either 1 or at least 53/32.

ii) D₂= 0 ==> D₃ = D₄ = D₅ = D₆ = 0;

iii) D₃= 0 ==> D₄ = D₅ = 0

Comments

MSTR 94-07

Recommended Citation

Mitchell, Curtis Z., "Distinct Products of Triples in Finite Groups" (1994). Mathematical Sciences Technical Reports (MSTR). 127.
https://scholar.rose-hulman.edu/math_mstr/127