Translation for 'multiplicative group' from English to Russian

multiplicative group

мультипликативная группа {ж}мат.

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group

группа {ж}

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small group

малая группа {ж}

music group

музыкальная группа {ж}муз.

sister group

сестринская группа {ж}биол.

group mate

согруппник {м}

army group

армейская группа {ж}военно

organyl group

органильная группа {ж}биохим.хим.

group homomorphism

гомоморфизм {м} группмат.

group [attr.]

групповой {adj}

group photo

групповая фотография {ж}фото

paramilitary group

военизированная группа {ж}

group sex

групповой секс {м}

Lie group

группа {ж} Лимат.

hobby group

кружок {м} [в школе и т. п.]

as a group

unverified толпой {adv}

• , and in fact these groups comprise all of the finite subgroups of the multiplicative group of the complex number field.
• The scheme was published by Whitfield Diffie and Martin Hellman in 1976, of the protocol uses the multiplicative group of integers modulo "p", where "p" is prime, and "g" is a primitive root modulo "p".
• , like multiplicative group of integers modulo "n".
• Equivalently, it is the least common multiple of the orders of the elements of the multiplicative group of integers modulo "n".
• For example, there are only 3 quadratic residues (1, 4 and 9) in the multiplicative group modulo 15.

• On the other hand, the multiplicative group of the nonzero rationals has an infinite rank, as it is a free abelian group with the set of the prime numbers as a basis (this results from the fundamental theorem of arithmetic).
• Each order can be regarded as a multiplicative group homomorphism from "F"∗ onto ±1.
• Every finite subgroup of the multiplicative group of a field is cyclic (see [...]).
• is a safe prime, the multiplicative group of integers modulo [...] has a subgroup of large prime order.
• Let [...] be the multiplicative group of positive real numbers, and let [...] be the additive group of real numbers.

• , which is a group homomorphism from the multiplicative group of [...] to the multiplicative group of [...].
• This function gives the order of the multiplicative group of integers modulo [...] (the group of units of the ring [...]). It is also used for defining the RSA encryption system.
• , the multiplicative group of nonzero integers modulo [...] , where [...] is a prime.
• If R× denotes the multiplicative group of non-zero reals and R+ the multiplicative group of positive reals, R× × R× is the group of units of the ring [...] , and [...] is a subgroup of [...] (in fact it is the component of the identity of [...]).
• Given a natural number [...] , the index of the multiplicative group of the [...] -th powers of the non-zero elements of [...] in [...] is finite.