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Nielsen equivalence classes of free abelianized extensions of groups
Authors:Martin J Evans
Institution:1.Department of Mathematics,The University of Alabama,Tuscaloosa,USA
Abstract:Let MediaObjects/11856_2011_211_Fig1_HTML.gif be a presentation of a group G. We obtain information about the Nielsen equivalence classes of F n /R′ in terms of the group K 1(ℤG) that arises in algebraic K-theory. We deduce some results about Nielsen equivalence classes and T-systems of polycyclic groups.
Keywords:
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