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Bull. Korean Math. Soc. 2013; 50(4): 1069-1077
Printed July 1, 2013
https://doi.org/10.4134/BKMS.2013.50.4.1069
Copyright © The Korean Mathematical Society.
Some algebraic and topological properties of the nonabelian tensor product
Daniele Ettore Otera, Francesco G. Russo, and Corrado Tanasi
Universite Paris Sud 11, Universiti Teknologi Malaysia, Universita degli Studi di Palermo
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
MSC numbers: Primary 20J99; Secondary 57M50
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