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http://dx.doi.org/10.11568/kjm.2021.29.3.603

RESIDUAL FINITENESS AND ABELIAN SUBGROUP SEPARABILITY OF SOME HIGH DIMENSIONAL GRAPH MANIFOLDS  

Kim, Raeyong (Department of Mathematics, College of Natural and Life Sciences, Daegu University)
Publication Information
Korean Journal of Mathematics / v.29, no.3, 2021 , pp. 603-612 More about this Journal
Abstract
We generalize 3-manifolds supporting non-positively curved metric to construct manifolds which have the following properties : (1) They are not locally CAT(0). (2) Their fundamental groups are residually finite. (3) They have subgroup separability for some abelian subgroups.
Keywords
residually finite group; abelian subgroup separability; high dimensional graph manifold;
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