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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2011 Volume 11, Issue 2, Pages 21–26 (Mi vngu76)

This article is cited in 1 paper

Residually Properties and Linearity of Groups

O. V. Bryukhanov

Siberian University of Consumer's Cooperation

Abstract: The paper gives a criterion for linearity over the field for finitely generated groups. The criterion based on they are super-residually matrix groups of fixed degree over some commutative associative rings.

Keywords: linear group, matrix representation, super-residually, valuation, filter on the set.

UDC: 512.54

Received: 01.10.2009


 English version:
Journal of Mathematical Sciences, 2013, 188:4, 354–358


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