Bounding Topology via Geometry, $A$-Simple Fundamental Groups
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@Article{CMR-36-489,
author = {Rong , Xiaochun and Yao , Xuchao},
title = {Bounding Topology via Geometry, $A$-Simple Fundamental Groups},
journal = {Communications in Mathematical Research },
year = {2020},
volume = {36},
number = {4},
pages = {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.
}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2020-0030}, url = {http://global-sci.org/intro/article_detail/cmr/18363.html} }
TY - JOUR
T1 - Bounding Topology via Geometry, $A$-Simple Fundamental Groups
AU - Rong , Xiaochun
AU - Yao , Xuchao
JO - Communications in Mathematical Research
VL - 4
SP - 489
EP - 505
PY - 2020
DA - 2020/11
SN - 36
DO - http://doi.org/10.4208/cmr.2020-0030
UR - https://global-sci.org/intro/article_detail/cmr/18363.html
KW - $A$-simple fundamental group, collapsing with bounded sectional curvature, finiteness of fundamental groups and diffeomorphic types.
AB -
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.
Rong , Xiaochun and Yao , Xuchao. (2020). Bounding Topology via Geometry, $A$-Simple Fundamental Groups.
Communications in Mathematical Research . 36 (4).
489-505.
doi:10.4208/cmr.2020-0030
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