Trinomials with Interesting Galois Groups
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Description: Parametrisation of trinomials with Galois groups contained in the simple group G168.
Trinomials with interesting Galois groups In 1969 Trinks discovered that the irreducible trinomial factored modulo small primes (other than the primes 3 and 7 dividing its discriminant 21 ), always yielded polynomials of degrees 7, 4+2+1, 3+3+1, or 2+2+1+1+1. [The pattern 1+1+1+1+1+1+1, for complete factorization into linear polynomials, occurs too, but not until we reach 1879, the 289th prime.] This suggested that the trinomial had Galois group
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| Page title: | Trinomials with interesting Galois groups |
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| Date | activated: 27-Jun-1985 last updated: 04-Sep-2013 expires: 31-Jul-2014 |