Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Τσουκνίδας Ιωάννης
Supervisors info:
Δημήτριος Βάρσος Καθηγητής Τμημ. Μαθηματικών ΕΚΠΑ
Original Title:
Αυτομορφισμοί ελεύθερων γινομένων με αμάλγαμα και εφαρμογές
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)