Solutions to Central Embedding Problems Are Constructible
✍ Scribed by John R. Swallow
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 160 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
Let p be a prime and K a field of characteristic not p containing the pth roots of unity. Suppose that 1 ª ޚrpޚ ª H ª G ª 1 is a central embedding problem Ž . of Galois groups, where G s Gal LrK . We show that an isomorphism from a matrix ring to any algebra representative of the cohomological obstruction of the embedding problem determines explicitly solutions to the embedding problem.
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