An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields
نویسندگان
چکیده
منابع مشابه
An Infinite Family of Non-Abelian Monogenic Number Fields
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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ژورنال
عنوان ژورنال: Acta Scientiarum Mathematicarum
سال: 2015
ISSN: 0001-6969
DOI: 10.14232/actasm-013-825-5