A remark on the multiplicative group of the division ring of a poly-infinite-cyclic group

A remark on the multiplicative group of the division ring of a poly-infinite-cyclic group
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DOI:
10.1002/cpa.3160270107
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发表时间:
1974
影响因子:
3
通讯作者:
G. Baumslag
G. Baumslag
中科院分区:
数学1区
文献类型:
--
作者:
G. Baumslag

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51. L.华在[1]中证明了除环的乘法群是可解的,当它是交换的。关于这一点,内森·雅各布森在他的书([2],第191页)中评论说,关于除环的乘法群知之甚少(另见W。R. Scott [3])。本说明的目的是增加这方面的知识。
51. L. Hua [I] has proved that the multiplicative group of a division ring is solvable only if it is commutative. In this regard Nathan Jacobson remarks in his book ([2], p. 191) that very little is known about the multiplicative group of a division ring (see also W. R. Scott [3]). The objective of this note is to add to this knowledge.