Milnor’s alternative for finitely generated relatively free groups that are locally graded

Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2020-05-24 DOI:10.4171/rsmup/46

W. Hołubowski, O. Macedońska

引用次数: 0

Abstract

Let G be a finitely generated relatively free group that is locally graded. We show that either G contains a non-trivial free subsemigroup or G is nilpotent-by-finite.

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Milnor对于有限生成的相对自由的局部分级群体的替代方案

设G是一个有限生成的局部分级的相对自由群。我们证明了G包含一个非平凡的自由子半群或者G是幂零的。

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Rendiconti del Seminario Matematico della Università di Padova

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