- #1
JasonJo
- 429
- 2
1) prove that H is a subgroup of S5 (the permutation group of 5 elements). every element x in H is of the form x(1)=1 and x(3)=3, meaning x moves 1 to 1 and moves 3 to 3. does your argument work hen 5 is replaced by a number greater than or equal to 3?
2) Let G be a group. prove or disprove that H={g^2:g is an element of H} is a subgroup.
2) Let G be a group. prove or disprove that H={g^2:g is an element of H} is a subgroup.