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For fixed g β g g β g, prove that conjugation by g g is an isomorphism from g g onto itself (i. e. An automorphism of g g). Deduce that x x and gxgβ1 g x g 1 have that same order for all x β g x β g.
For fixed g β g g β g, prove that conjugation by g g is an isomorphism from g g onto itself (i. e. An automorphism of g g). Deduce that x x and gxgβ1 g x g 1 have that same order for all x β g x β g.
