Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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)
  • Received : 2021.08.20
  • Accepted : 2021.09.05
  • Published : 2021.09.30
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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

Acknowledgement

This research was supported by the Daegu University Research Grant, 2017.

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