Galois groups of multivariate Tutte polynomials
✍ Scribed by Adam Bohn, Peter J. Cameron, Peter Müller
- Book ID
- 113067813
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 341 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0925-9899
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📜 SIMILAR VOLUMES
Let q"pS'1 be a power of a prime p, and let k O be an over"eld of GF(q). Let m'0 be an integer, let J\* be a subset of +1, 2 , m,, and let E\* KO (>)"> qK # HZ( \* X H >O K\H where the X H are indeterminates. Let J ? be the set of all m! where is either 0 or a divisor of m di!erent from m. Let s(¹)"
We present a collection of multi-parameter polynomials for several mostly non-solvable permutation groups of small degree and describe their construction. As an application we are able to obtain totally real number fields with these Galois groups over the rationals, for example for the two small Mat