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Abstract <p> It is shown that the multiplicative group of an algebraic number field is free modulo the group of units if the group of values of any non-Archimedean valuation of this field forms a free group. </p>

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Fields of Algebraic Numbers Whose Multiplicative Groups are Free Modulo the Group of Units

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • K. N. Ponomarev

摘要

Abstract

It is shown that the multiplicative group of an algebraic number field is free modulo the group of units if the group of values of any non-Archimedean valuation of this field forms a free group.