Group Actions on Trees and Applications

Postgraduate Thesis uoadl:3234240 110 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2022-10-06
Year:
2022
Author:
Tasopoulos Athanasios
Supervisors info:
Βάρσος Δημήτριος Καθηγητής Τμήμα Μαθηματικών ΕΚΠΑ,
Εμμανουήλ Ιωάννης Καθηγητής Τμήμα Μαθηματικών ΕΚΠΑ,
Μιχαήλ Συκιώτης Αναπλ. Καθηγητής Τμήμα Μαθηματικών ΕΚΠΑ
Original Title:
Δράσεις Ομάδων σε Δένδρα και Εφαρμογές
Languages:
Greek
Translated title:
Group Actions on Trees and Applications
Summary:
In the current master thesis we present the Fundamental Theorem of Bass-Serre Theory, a structural theorem where is proven how the groups that acts on trees are "analysed". Using this theorem we show three classical theorems of Group Theory, the subgroups theorems of Kurosh and of Nielsen-Schreier, as well as the theorem of Grushko.
Main subject category:
Science
Keywords:
Bass-Serre Theory
Index:
No
Number of index pages:
0
Contains images:
No
Number of references:
6
Number of pages:
72
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