Cubing Ordered 2-sets

Authors

Jeffery Vanderkam, Duke University

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 X³ = {x₁x₂x₃ l x_i in X}. We show that P₂( G) = 0 if, and only if, IGI is odd, and that p₃(G) = 0 if, and only if, IGI is not divisible by three. The groups for which p₄ ( G) = 0 and p₅ ( G) = 0 are also determined.

Comments

MSTR 92-10

Recommended Citation

Vanderkam, Jeffery, "Cubing Ordered 2-sets" (1992). Mathematical Sciences Technical Reports (MSTR). 137.
https://scholar.rose-hulman.edu/math_mstr/137