若干非周期群上、下中心级数因子之间的关系

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2016-12-20 DOI:10.22108/IJGT.2017.21674

M. Dixon, L. A. Kurdachenko, I. Subbotin

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引用次数: 3

摘要

本文讨论因子群G/ζ(G)(分别为G/ζk(G))和G '(分别为γk+1(G)和G)之间的相互关系。证明了如果G/ζ(G)(分别为G/ζk(G))具有有限的0秩，那么G '(分别为γk+1(G)和G)也具有有限的0秩。进一步得到了G′、γk+1(G)和G N的0阶界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the relationships between the factors of the upper and lower central series in some non-periodic groups

This paper deals with the mutual relationships between the factor group G/ζ(G) (respectively G/ζk(G)) and G ′ (respectively γk+1(G) and G ). It is proved that if G/ζ(G) (respectively G/ζk(G)) has finite 0-rank, then G ′ (respectively γk+1(G) and G ) also have finite 0-rank. Furthermore, bounds for the 0-ranks of G′, γk+1(G) and G N are obtained.

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.