Free Groups and the Topology of Finite Graphs

Postgraduate Thesis uoadl:2885511 150 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2019-11-13
Year:
2019
Author:
Kolyvas Petros
Supervisors info:
Συκιώτης Μιχαήλ, Επίκουρος Καθηγητής, Μαθηματικών, Εθνικό Καποδιαστριακό Πανεπιστήμιο Αθηνών
Original Title:
Ελεύθερες Ομάδες και η Τοπολογία των Πεπερασμένων Γραφημάτων
Languages:
Greek
Translated title:
Free Groups and the Topology of Finite Graphs
Summary:
In the study of free groups, in many cases difficulties arise if someone uses group-theoretic tools only. By using graphs and some special morphisms between them, as tools for this study, we can prove in an intuitive manner several crucial results on free groups. In this master thesis we follow Stallings’ paper [1] and we provide proofs on some of those results, such as the theorems of Howson and of M. Hall.
Main subject category:
Science
Keywords:
Free Groups, Graphs, Combinatorial Group Theory, Howson's Theorem, Hanna Neumann's Inequality, M. Hall's Theorem
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
8
Number of pages:
77
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