On Central Series of the Multiplicative Group of Division Rings

• 来源期刊: 代数集刊（英文版）
• 关键词: division ring descending central series valuation theory
• 年，卷（期）: 2002,（1）
• 页码范围: 99-106
• 页数: 8页
• 语种: 英文

摘要

This paper studies the descending central series of the multiplicative group of a division ring. We show that certain properties, which a term in the descending central series may have, can be lifted to the full multiplicative group,and determine quotients of consecutive terms in the descending central series in tame Henselian unramified or totally ramified cases.