Element of a group G
Source: Brazilian Math Olympiad - University Level - Galois-Noether 2018 #4
November 24, 2019
Setscollege contestsBrazilian Undergrad MO
Problem Statement
Consider the property that each a element of a group satisfies , where e is the identity element of the group. Which of the following statements is not always valid for a
group with this property?
(a) is commutative
(b) has infinite or even order
(c) is Noetherian
(d) is vector space over