Some algebraic and topological properties of the nonabelian tensor product

Francesco Russo, Corrado Tanasi, Francesco G. Russo, Daniele Ettore Otera

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7 Citazioni (Scopus)

Abstract

Several authors investigated the properties which are invariantunder the passage from a group to its nonabelian tensor square. In this note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.
Lingua originaleEnglish
Numero di pagine8
RivistaBulletin of the Korean Mathematical Society
Volume5
Stato di pubblicazionePublished - 2013

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Topological Properties
Tensor Product
Discrete Group
Invariance
Tensor
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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abstract = "Several authors investigated the properties which are invariantunder the passage from a group to its nonabelian tensor square. In this note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.",
keywords = "Nonabelian tensor product, algebraic topology, free products, homology, wsg property",
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AU - Russo, Francesco

AU - Tanasi, Corrado

AU - Russo, Francesco G.

AU - Otera, Daniele Ettore

PY - 2013

Y1 - 2013

N2 - Several authors investigated the properties which are invariantunder the passage from a group to its nonabelian tensor square. In this note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.

AB - Several authors investigated the properties which are invariantunder the passage from a group to its nonabelian tensor square. In this note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.

KW - Nonabelian tensor product

KW - algebraic topology

KW - free products

KW - homology

KW - wsg property

UR - http://hdl.handle.net/10447/76433

UR - http://bkms.kms.or.kr/

M3 - Article

VL - 5

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

SN - 1015-8634

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