Let G be a group and consider the map f : G × G → G given by f(g, a) = ag−1 . (a) Prove that the map f is a group action
Posted: Wed May 11, 2022 9:28 pm
Let G be a group and consider the map f : G × G → G given by
f(g, a) = ag−1 . (a) Prove that the map f is a group action.
(b) Prove that this action is faithful.
(c) Prove that this action is transitive.
f(g, a) = ag−1 . (a) Prove that the map f is a group action.
(b) Prove that this action is faithful.
(c) Prove that this action is transitive.