Geodesic
On approximation of amenable groups by finite quasigroups
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 48-58

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An amenability criterion for groups in terms of their approximation by finite quasigroups is given. 
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     author = {L. Yu. Glebskii and E. I. Gordon},
     title = {On approximation of amenable groups by finite quasigroups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {326},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_326_a4/}
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L. Yu. Glebskii; E. I. Gordon. On approximation of amenable groups by finite quasigroups. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 48-58. http://geodesic.mathdoc.fr/item/ZNSL_2005_326_a4/