#### Title

#### Document Type

Article

#### Publication Date

9-1992

#### First Advisor

Gary Sherman

#### Abstract

Given a group *G**,** *we define *p _{i} *as the probability that, given an ordered pair

*X*=

*(x,y),*there are exactly

*i*elements in

*X*

^{3}= {

*x*

_{1}

*x*

_{2}x_{3 }l

*x*in

_{i }*X*}. We show that P

_{2}( G) = 0 if, and only if, I

*G*I is odd, and that p

_{3}(G) = 0 if, and only if, I

*G*I is not divisible by three. The groups for which

*p*and

_{4}( G) = 0*p*are also determined.

_{5}( G) = 0#### Recommended Citation

Vanderkam, Jeffery, "Cubing Ordered 2-sets" (1992). *Mathematical Sciences Technical Reports (MSTR)*. 137.

http://scholar.rose-hulman.edu/math_mstr/137

## Comments

MSTR 92-10