Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Algebra Homomorphisms

Let (G, ∘) and (G', *) be two finite groups and Φ : G → G' be an epimorphism then -

1
O(G) is a divisor of O(G').
2
O(G) is not a divisor of O(G')
3
O(G') is a divisor of O(G).
4
O(G') is not a divisor O(G).
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