Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Set Theory & Algebra
Let (H, *) be a normal subgroup of the group (G, *), and the system (G/H, *) forms a group. The false statement is :
1
(G/H, *) is quotient group.
2
Operation * is associative in G/H.
3
G/H has an identity element H = e * H for *.
4
a−1 * H is not the inverse of a * H.