Hyperbolic groups and asymptotic cones

Postgraduate Thesis uoadl:1320539 656 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2014-10-10
Year:
2014
Author:
Στασινόπουλος Θεόδωρος
Supervisors info:
Μ. Συκιώτης Επίκ. Καθηγητής
Original Title:
Υπερβολικές ομάδες και ασυμπτωτικοί κώνοι
Languages:
Greek
Translated title:
Hyperbolic groups and asymptotic cones
Summary:
The purpose of this master thesis (ή work) is to present a proof of the
following result, due to F. Paulin: A hyperbolic group with infinite outer
automorphism group acts non-trivially by isometries on an R-tree. A
consequence of Paulin's theorem is that such a group splits as an amalgam
or HNN extension over a virtually cyclic subgroup.
Keywords:
Hyperbolic , Asymptotic, Cones, Groups, Trees
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
16
Number of pages:
48
File:
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