multiplicative group in a sentence

Examples

1. The corresponding result for the multiplicative group is known as Hilbert's Theorem 90, and was known before 1900.
2. If " T " is the multiplicative group, then this gives the restriction of scalars a permutation module structure.
3. For example, the Elliptic curve Diffie Hellman protocol is variant that uses elliptic curves instead of the multiplicative group of integers modulo p.
4. This follows, in part, since the multiplicative group of complex numbers "'C "' " is connected.
5. The Conway polynomial is chosen to be primitive, so that each of its roots generates the multiplicative group of the associated finite field.
6. Exponential fields, meanwhile, are fields equipped with an exponential function that provides a homomorphism between the additive and multiplicative groups within the field.
7. Given a natural number, the index of the multiplicative group of the-th powers of the non-zero elements of in } } is finite.
8. F-torus " is an algebraic group defined over F which is isomorphic over \ overline F to a finite product of copies of the multiplicative group.
9. Seven of these groups are sharply transitive; these groups were found by Hans Zassenhaus and are also known as the multiplicative groups of the Zassenhaus near-fields.
10. In the article Root of unity Euler's formula is derived by using this argument in the special case of the multiplicative group of the th roots of unity.