Geodesic
A family of cyclic quartic fields with explicit fundamental units
Steve Balady 1   ; Lawrence C. Washington 2
1 Department of Mathematics Oberlin College Oberlin, OH 44074, U.S.A.
2 Department of Mathematics University of Maryland College Park, MD 20742, U.S.A.
Acta Arithmetica, Tome 187 (2019) no. 1, pp. 43-57 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We construct a family of quartic polynomials with cyclic Galois group and show that the roots of the polynomials are fundamental units or generate a subgroup of index 5.
DOI : 10.4064/aa171010-23-8
Keywords: construct family quartic polynomials cyclic galois group roots polynomials fundamental units generate subgroup index

Steve Balady  1   ; Lawrence C. Washington  2

1 Department of Mathematics Oberlin College Oberlin, OH 44074, U.S.A.
2 Department of Mathematics University of Maryland College Park, MD 20742, U.S.A. 
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Steve Balady; Lawrence C. Washington. A family of cyclic quartic fields with explicit fundamental units. Acta Arithmetica, Tome 187 (2019) no. 1, pp. 43-57. doi: 10.4064/aa171010-23-8

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