Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Algebra Group & Subgroups
Let H be a subgroup of the group G and \(H = \{\frac{m}{2^n} + \mathbb{Z} | m \in \mathbb{Z}, \ \ n = 0, 1, 2.. \}\) then choose the correct option?
1
H is not proper normal subgroup of \(\frac{\mathbb{Q}}{\mathbb{Z}}\)
2
H is proper normal subgroup of \(\frac{\mathbb{Q}}{\mathbb{Z}}\)
3
H is cyclic subgroup of \(\frac{\mathbb{Q}}{\mathbb{Z}}\)
4
H is finitely generated subgroup of \(\frac{\mathbb{Q}}{\mathbb{Z}}\)
5
Question Not Attempted