| Autor: |
Klahn, Benjamin, Technau, Marc |
| Předmět: |
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| Zdroj: |
International Journal of Number Theory; Bov2023, Vol. 19 Issue 10, p2443-2450, 8p |
| Abstrakt: |
We show that the Galois group of the polynomial in the title is isomorphic to the full symmetric group on six symbols for all but finitely many n. This complements earlier work of Filaseta and Moy, who studied Galois groups of n 0 + n 1 X + ⋯ + n k X k for more general pairs (n , k) , but had to admit a possibly infinite exceptional set specifically for k = 6 of at most logarithmic growth in n. The proof rests upon invoking Faltings' theorem on a suitable fibration of Galois resolvents to show that this exceptional set is, in fact, finite. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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