MathAlgebraGroups

Introduction to groups

Inverses

Report a typo

Suppose $(G, \cdot)$ is a group, and $e$ its identity element. Select all correct statements about inverses in it. Remember that the group may be non-abelian.

Select one or more options from the list

(ab)^{-1} = b^{-1}a^{-1}

for any

a, b \in G

(ab)^{-1} = a^{-1}b^{-1}

for any

a, b \in G

e^{-1} = e

(a^{-1})^{-1} = a

for any

a \in G

___

Create a free account to access the full topic