A polynomial with Galois group SL2(F16)
نویسنده
چکیده
In this paper we show that the polynomial x − 5x +12x − 28x +72x − 132x + 116x − 74x + 90x − 28x − 12x + 24x − 12x − 4x − 3x − 1 ∈ Q[x] has Galois group SL2(F16), filling in a gap in the tables of Jürgen Klüners and Gunther Malle (see [12]). The computation of this polynomial uses modular forms and their Galois representations.
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تاریخ انتشار 1999