The nonexistence of nonsolvable octic number fields ramified only at one small prime

Sylla, Lesseni

doi:10.1090/S0025-5718-06-01827-8

The nonexistence of nonsolvable octic number fields ramified only at one small prime
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Math. Comp. 75 (2006), 1519-1526 Request permission

Abstract:

We prove that there is no primitive octic number field ramified only at one small prime, and so no such number field with a nonsolvable Galois group.

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