Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1309-4797-2 |
Объём: | 88 страниц |
Масса: | 153 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In mathematics, Zolotarev's lemma in number theory states that the Legendre symbolfor an integer a modulo a prime number p, can be computed aswhere ? denotes the signature of a permutation and ?a the permutation of the residue classes mod p induced by modular multiplication by a, provided p does not divide a.In general, for any finite group G of order n, it is easy to determine the signature of the permutation ?g made by left-multiplication by the element g of G. The permutation ?g will be even, unless there are an odd number of orbits of even size. Assuming n even, therefore, the condition for ?g to be an odd permutation, when g has order k, is that n/k should be odd, or that the subgroup <g> generated by g should have odd index.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.