MathDB

Putnam 1972 B3

Source: Putnam 1972

February 17, 2022

Putnamgroup theory

Problem Statement

A group

G

has elements

g,h

satisfying

ghg=hg^{2}h, g^{3}=1

and

h^n=1

for some odd integer

n

. Prove that

h=e

, where

e

is the identity element.