自由幂零群与自由阿贝尔群的亚贝尔积

Groups Complex. Cryptol. Pub Date : 1900-01-01 DOI:10.1515/GCC.2009.169

M. H. Dean

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引用次数: 0

摘要

如果两组是残差- r，则它们的自由积不一定是残差;然而，已知残馀无扭转幂零群的自由积也是残馀无扭转幂零。本文证明了二类自由幂零群与自由阿贝尔群的自由亚贝尔积是剩余无扭幂零的。

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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Metabelian Product of a Free Nilpotent Group with a Free Abelian Group

If two groups are residually-𝑃, their free product is not necessarily so; however, it is known that the free product of residually torsion-free nilpotent groups is again residually torsion-free nilpotent. In this paper it is shown that the free metabelian product of a free nilpotent group of class two with a free abelian group is residually torsion-free nilpotent.

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Groups Complex. Cryptol.

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