24. Let G be a group with order p" where p is prime and X a finite G-set. If Xo = {re x X: gr = x for all g E G} is the
Posted: Thu May 12, 2022 7:26 am
24. Let G be a group with order p" where p is prime and X a finite G-set. If Xo = {re x X: gr = x for all g E G} is the set of elements in X fixed by the group action, then prove that X1 = |XG| (mod p). If G is a 25. mom of order m2