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http://dx.doi.org/10.4134/BKMS.2013.50.4.1069

SOME ALGEBRAIC AND TOPOLOGICAL PROPERTIES OF THE NONABELIAN TENSOR PRODUCT  

Otera, Daniele Ettore (Departement de Mathematique Universite Paris Sud 11)
Russo, Francesco G. (DEIM Universita degli Studi di Palermo, Department of Mathematics Universiti Teknologi Malaysia)
Tanasi, Corrado (Dipartimento di Matematica e Informatica Universita degli Studi di Palermo)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1069-1077 More about this Journal
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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