Polynomials with PSL(2, 7) as Galois group
β Scribed by D.W. Erbach; J. Fischer; J. McKay
- Book ID
- 103219930
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 353 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
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
If G is a finite group and k is a field, then G is k-admissible if there exists a G-Galois extension Lrk such that L is a maximal subfield of a k-division algebra. Ε½ . We prove that PSL 2, 7 is k-admissible for any number field which either fails to ' contain y1 or which has two primes lying over t
We compute a polynomial with Galois group SL 2 (11) over Q. Furthermore we prove that SL 2 (11) is the Galois group of a regular extension of Q(t).