Counting Order Classes of Triple Products in Finite Groups

Authors

Scott Annin
Jennifer Ziebarth

Document Type

Article

Publication Date

1-1994

First Advisor

Gary Sherman

Abstract

Let G be a finite group and let W_G denote the proportion of triples, (.x:, y , z) , i n G3 for which x yz , x zy, y x z, zx y , yzx , and z y x have the same order. The following results are established.

i) G is abelian if, and only if, W_G = 1.

ii) W_G can be arbitrarily close to 1.

iii) Additional estimates on W_G

Comments

MSTR 94-02

Recommended Citation

Annin, Scott and Ziebarth, Jennifer, "Counting Order Classes of Triple Products in Finite Groups" (1994). Mathematical Sciences Technical Reports (MSTR). 122.
https://scholar.rose-hulman.edu/math_mstr/122