Splittings of groups with infinitely many ends

Postgraduate Thesis uoadl:3227419 221 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2022-07-17
Year:
2022
Author:
Deligiannis Marios
Supervisors info:
Μιχαήλ Συκιώτης, Αναπληρωτής Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Original Title:
Διασπάσεις ομάδων με άπειρα το πλήθος πέρατα
Languages:
Greek
Translated title:
Splittings of groups with infinitely many ends
Summary:
In the current master thesis we present a classic theorem which determines the structure of finitely generated groups with infinitely many ends. In particular, such a group is either a free group with amalgam either an HNN extension. We are following the proof that Scott and Wall presented which makes use of results from the Bass-Serre theory.
Main subject category:
Science
Keywords:
Free products with amalgam, HNN extensions, Group actions on trees, Ends of groups
Index:
No
Number of index pages:
0
Contains images:
No
Number of references:
17
Number of pages:
53
Διασπάσεις ομάδων με άπειρα το πλήθος πέρατα.pdf (600 KB) Open in new window