Abstract
We establish an isomorphism between the quintic cyclic polynomials discovered by Hashimoto-Tsunogai and those arising from Kummer theory for certain algebraic tori. This enables us to solve the isomorphism problem for Hashimoto-Tsunogai polynomials and also Brumer's quintic polynomials.
| Original language | English |
|---|---|
| Pages (from-to) | 557-571 |
| Number of pages | 15 |
| Journal | International Journal of Number Theory |
| Volume | 5 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jan 2009 |
| Externally published | Yes |
Keywords
- Brumer's quintic polynomial
- Cyclic quintic extension
- Kummer theory
- Quintic dihedral extension
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