,On Central Series of the Multiplicative Group of Division Rings

• 作 者: Roozbeh Hazrat
• 机 构: Department of Mathematics, University of Bielefeld P.O. Box 100131, 33501 Bielefeld, Germany
• 出 处: 代数集刊（英文版）
• 发表日期: 2002年1期
• 关键词: division ring descending central series valuation theory

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.