Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1303-5664-4 |
Объём: | 84 страниц |
Масса: | 147 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Ludwig Sylow. The three main Sylow theorems are the Sylow E theorem, the Sylow D theorem, and the Sylow C theorem, sometimes referring to the "existence", "development" and "conjugate" theorem respectively. Another theorem gives the number of Sylow p-subgroups of a group for fixed prime p; this is sometimes referred to as the Sylow "counting" theorem. Given any prime number and any finite group, the Sylow E theorem asserts the existence of a subgroup of this finite group, having order the power of this prime. The Sylow D theorem asserts the equivalence between maximality of a p-subgroup of a finite group, and that it is a Sylow subgroup of the group. Finally, the Sylow C theorem asserts that all Sylow p-subgroups of a group (for fixed prime p) are conjugate to each other.
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