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Details for article 13 of 18 found articles
| Title: |
Polynomials without roots in division algebras |
| Author: |
Allman, Elizabeth S. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 24 (1996) nr. 12 pages 3891-3919 |
| Year: |
1996 |
| Contents: |
Let k be a number field with ring of integers . A k-division algebra is a division algebra D, finite dimensional over its center k. A finite field extension L/k is k-deficient if there is no A-division algebra containing L as a maximal subfield. A polynomial f(x) is k-deficient if there is no k-division algebra containing a root of f(x) Let [image omitted] is monic and k-deficient}. We prove the ring [x] localized at the multiplicatively closed set S is a Dedekind ring with class group isomorphic to the class group of . We give examples of fc-deficientGalois extensions with Galois groups isomorphic to any of the following: [image omitted] . We describe properties of k-deficient polynomials. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 13 of 18 found articles
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