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Residual finiteness and Abelian subgroup separability of some high dimensional graph manifolds

김래용
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.09|한국수학논문집 (Korean Journal of Mathematics)|제29권 제3호|pp. 603-612

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참고문헌

키워드

residually finite groupabelian subgroup separabilityhigh dimensional graph manifold
주제분류수학

초록

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.

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.

참고문헌 (15)

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