Square Roots of Finite Groups - II

Authors

Matthew Devos
David McAdams
Rebecca Rapoport

Document Type

Article

Publication Date

12-1994

First Advisor

Gary Sherman

Abstract

A subset R of a finite group G is a square root of G if R² = G. If R is a square root of G for which |R|² = G, then R is referred to as a perfect square root of G. It can be shown using character theory that perfect square roots do not exist. The purpose of this paper is to work toward an elementary proof of this result.

Comments

MSTR 94-06

Recommended Citation

Devos, Matthew; McAdams, David; and Rapoport, Rebecca, "Square Roots of Finite Groups - II" (1994). Mathematical Sciences Technical Reports (MSTR). 125.
https://scholar.rose-hulman.edu/math_mstr/125