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- W4308242972 abstract "Continuing the line of thought of an earlier work, we provide the first infinite family of quadratic number fields with everywhere unramified Galois extensions of Galois group $SL_2(5)$, the (unique) smallest nonsolvable group for which this problem was previously open. Our approach also improves upon previous work by yielding the first infinite family of real-quadratic fields possessing an unramified Galois extension whose Galois group is perfect and not generated by involutions. Our result also amounts to a new existence result on quintic number fields with squarefree discriminant and additional local conditions." @default.
- W4308242972 created "2022-11-09" @default.
- W4308242972 creator A5047408505 @default.
- W4308242972 date "2022-11-02" @default.
- W4308242972 modified "2023-09-27" @default.
- W4308242972 title "Quadratic number fields with unramified $SL_2(5)$-extensions" @default.
- W4308242972 doi "https://doi.org/10.48550/arxiv.2211.01555" @default.
- W4308242972 hasPublicationYear "2022" @default.
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