High Quality Content by WIKIPEDIA articles! In abstract algebra, a finite field or Galois field (so named in honor of Evariste Galois) is a field that contains a finite number of elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, coding theory and quantum error correction. The finite fields are classified by size; there is exactly one finite field up to isomorphism of size pk for each prime p and positive integer k. Each finite field of size q is the splitting field of the polynomial xq ? x, and thus the fixed field of the Frobenius endomorphism which takes x to xq. Similarly, the multiplicative group of the field is a cyclic group. Wedderburn's little theorem states that the Brauer group of a finite field is trivial, so that every finite division ring is a finite field. Finite fields have applications in many areas of mathematics and computer science, including coding theory, LFSRs, modular representation theory, and the groups of...

В наличии:
	Books.Ru - 1128 руб.	Перейти
Под заказ:
	OZON.ru - 1125 руб.	Перейти

Рейтинг книги: 4 из 5, 1 голос(-ов).