On units of a family of cubic number fields

Kan Kaneko

doi:10.55937/sut/1415033670

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Home > Journals > SUT J. Math. > Volume 50 > Issue 1 > Article

January 2014 On units of a family of cubic number fields

Kan Kaneko

Author Affiliations +

Kan Kaneko¹
¹Graduate School of Mathematics, University of Tsukuba 1-1-1 Tennohdai, Tsukuba, Ibaraki 305-8573, Japan

SUT J. Math. 50(1): 19-24 (January 2014). DOI: 10.55937/sut/1415033670

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Abstract

We find the fundamental units of a family of cubic fields introduced by Ishida. Using the family, we also construct a family of biquadratic fields whose 3-class field tower has length greater than 1.