An Infinite Family of Non-Abelian Monogenic Number Fields

نویسندگان

  • Ofer Grossman
  • Dongkwan Kim
چکیده

We study non-abelian monogenic algebraic number fields (i.e., non-abelian number fields whose rings of integers have a basis of the form {1, α, α, . . . , αn−1} for some α). There are numerous results about abelian monogenic number fields, yet for the non-abelian case little is understood. As our main result, we find an infinite family of non-abelian monogenic degree 6 number fields.

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تاریخ انتشار 2015