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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


Galois Groups of Generalized Iterates of
✍ Shreeram S. Abhyankar; Ganapathy S. Sundaram 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 175 KB

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)"

Multi-parameter Polynomials with Given G
✍ Gunter Malle 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 282 KB

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