Automorphisms of amalgamated free products and applications

Postgraduate Thesis uoadl:1325736 713 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2016-12-03
Year:
2016
Author:
Τσουκνίδας Ιωάννης
Supervisors info:
Δημήτριος Βάρσος Καθηγητής Τμημ. Μαθηματικών ΕΚΠΑ
Original Title:
Αυτομορφισμοί ελεύθερων γινομένων με αμάλγαμα και εφαρμογές
Languages:
Greek
Translated title:
Automorphisms of amalgamated free products and applications
Summary:
The objective of this dissertation is the study of the automorphism group of an amalgamated free product. It consists of three parts; the first part is a short introduction to combinatorial and geometric group theory. The second part focuses on the calculation of the automorphism group and it is where we prove that, in many cases, that group is also an amalgamated free product. The last part is an application of the above, where we outline the automorphism group of SL(2,Z).
Main subject category:
Science
Other subject categories:
Mathematics
Keywords:
automorphisms of amalgamated free products, amalgam, SL(2,Z)
Index:
No
Number of index pages:
0
Contains images:
No
Number of references:
18
Number of pages:
86
2016_Τσουκνίδας.pdf (489 KB) Open in new window