SOME ALGEBRAIC AND TOPOLOGICAL PROPERTIES OF THE NONABELIAN TENSOR PRODUCT

• Otera, Daniele Ettore ;
• Russo, Francesco G. ;
• Published : 2013.07.31
• 48 6

Abstract

Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present 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;actions of groups;quasi simple filtration;homology;homotopy group

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