Divisibility by |G| for Powers of Ordered k-sets

Authors

Jeffery Vanderkam, Duke University

Document Type

Article

Publication Date

9-1992

First Advisor

Gary Sherman

Abstract

It is shown that the number of ordered k-sets of a group G whose nth power contains exactly i elements is always a multiple of IGI. An elementary proof of the fact that the number of ordered pairs ( x , y ) such that x² = y² is equal to k_r lGI is also given.

Comments

MSTR 92-09

Recommended Citation

Vanderkam, Jeffery, "Divisibility by |G| for Powers of Ordered k-sets" (1992). Mathematical Sciences Technical Reports (MSTR). 136.
https://scholar.rose-hulman.edu/math_mstr/136