Finiteness conditions for the n-fold tensor product of groups

被引：0

作者：

Bastos, Raimundo ^{[1
]}

Ortega, Guilherme ^{[1
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年

关键词：

Finitely presented groups; finiteness conditions; non-abelian tensor product of groups; n-fold tensor product; HOMOLOGY; EXTERIOR;

D O I：

10.1142/S0219498825502287

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finitely generated group. We prove that the n-fold tensor product G(circle times n) is finite (respectively, polycyclic) if and only if G is finite (respectively, polycyclic). Further, assuming that G is finitely presented, we show that G(circle times n) is finitely presented if and only if gamma(n)(G) is finitely presented. We also examine some finiteness conditions for the non-abelian tensor product of groups.

引用

页数：16

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