Uniqueness of hopf galois structure for separable field extensions
β Scribed by Byott, N.P.
- Book ID
- 126611478
- Publisher
- Taylor and Francis Group
- Year
- 1996
- Tongue
- English
- Weight
- 46 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0092-7872
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let L be a field which is a Galois extension of the field K with Galois w x group G. Greither and Pareigis GP87 showed that for many G there exist K-Hopf algebras H other than the group ring KG which make L into an Ε½ H-Hopf Galois extension of K or a Galois H \*-object in the sense of w x. Chase and
Let p be an odd prime and n a positive integer and let k be a field of Ε½ . r p and let r denote the largest integer between 0 and n such that K l k s p Ε½ . r r r k , where denotes a primitive p th root of unity. The extension Krk is p p separable, but not necessarily normal and, by Greither and Pa