Bounding Topology via Geometry, $A$-Simple Fundamental Groups

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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.

Keywords:

$A$-simple fundamental group collapsing with bounded sectional curvature finiteness of fundamental groups and diffeomorphic types.
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DOI

10.4208/cmr.2020-0030

How to Cite

Bounding Topology via Geometry, $A$-Simple Fundamental Groups. (2020). Communications in Mathematical Research, 36(4), 489-505. https://doi.org/10.4208/cmr.2020-0030