Question

If a g define n(a) = {x g : xa = ax} show that n(a) is a subgroup of g.

Answer 1

Answer:

is a subgroup of G. Proof. Since the determinant of any matrix in H is 1, they are all invertible. It is easy to verify that if A = ⎡ ... Since a is of finite order in G, we have an = e................