Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Algebra Group & Subgroups
Let G be any finite group. Which one of the following is necessarily true?
1
G is a union of proper subgroups.
2
G is a union of proper subgroups if |G| has at least two distinct prime divisors.
3
If G is abelian, then G is a union of proper subgroups.
4
G is a union of proper subgroups if and only if G is not cyclic.