Bounding Topology via Geometry, A-Simple Fundamental Groups
Year: 2020
Author: Xiaochun Rong, Xuchao Yao
Communications in Mathematical Research , Vol. 36 (2020), Iss. 4 : pp. 489–505
Abstract
We call a group A-simple, if it has no non-trivial normal abelian sub-group. We will present finiteness results in controlled topology via geometry on manifolds whose fundamental groups are A-simple.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2020-0030
Communications in Mathematical Research , Vol. 36 (2020), Iss. 4 : pp. 489–505
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: A-simple fundamental group collapsing with bounded sectional curvature finiteness of fundamental groups and diffeomorphic types.
Author Details
Xiaochun Rong Email
Xuchao Yao Email