Thread: Group

Let G be a group and let c be a fixed element of G. Define a new operation " * " on G by
a*b=ac^(-1)b

prove that the set G is a group under *.

Originally Posted by r7iris

Let G be a group and let c be a fixed element of G. Define a new operation " * " on G by
a*b=ac^(-1)b

prove that the set G is a group under *.

The rest is trival.