galois group meaning in Hindi

Examples

1. See the article on Galois groups for further explanation and examples.
2. The field norm can also be obtained without the Galois group.
3. The Galois group is cyclic of order and is generated by.
4. Extensions whose Galois group is abelian are called abelian extensions.
5. Since divides, the Galois group has a cyclic subgroup of order.
6. The absolute Galois group is well-defined up to inner automorphism.
7. If is a finite Galois extension of, the Galois group is solvable.
8. As the Galois group of is abelian, this is an abelian extension.
9. It follows that has Galois group isomorphic to over.
10. The Galois group is naturally isomorphic to the multiplicative group