Thesis icon

Thesis

Asymptotic invariants of infinite discrete groups

Abstract:

Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view the group from increasingly distant vantage points. The group coalesces to an "asymptotic cone" in the limit (this is made precise using techniques of non-standard analysis). The reward is that in place of the discrete group one has a continuous object "that is amenable to attack by geometric (e.g. topological, infinitesimal) machinery" (to quote Gromov).

We ...

Expand abstract

Actions


Access Document


Files:

Authors


More by this author
Institution:
University of Oxford
Oxford college:
Corpus Christi College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

Contributors

Role:
Supervisor
Publication date:
2002
Type of award:
DPhil
Level of award:
Doctoral
URN:
uuid:30f42f4c-e592-44c2-9954-7d9e8c1f3d13
Local pid:
ora:11338

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP