{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0799"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0799","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΟΜΑΔΕΣ ΑΥΤΟΜΟΡΦΙΣΜΩΝ ΤΩΝ ΟΜΑΔΩΝ ΜΙΑΣ ΟΡΙΖΟΥΣΑΣ ΣΧΕΣΗΣ","abstract":"AT THE SECOND CHAPTER THE DERIVED SUBGROUP OF GROUPS WITH ONE DEFINING RELATIONSTUDIED. AT THE THIRD CHAPTER THE GROUP OF AUTOMORPHISMS OF CERTAIN ONE RELATOR GROUPS STUDIED. AT THE IV CHAPTER THE RESIDUAL PROPERTIES STUDIED LIKE RESIDUALLY FINITENESS, RESIDUALLY NILPOTENCE ETC.","abstract_html":"AT THE SECOND CHAPTER THE DERIVED SUBGROUP OF GROUPS WITH ONE DEFINING RELATIONSTUDIED. AT THE THIRD CHAPTER THE GROUP OF AUTOMORPHISMS OF CERTAIN ONE RELATOR GROUPS STUDIED. AT THE IV CHAPTER THE RESIDUAL PROPERTIES STUDIED LIKE RESIDUALLY FINITENESS, RESIDUALLY NILPOTENCE ETC.","abstract_has_math":false,"creators":["Ράπτης, Ευάγγελος"],"institution":"National and Kapodistrian University of Athens","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1986,"date_issued":"1986","date_published":"1986","updated_at":"2026-07-24T02:25:27Z","subjects":["Αυτομορφισμοί","ΕΛΕΥΘΕΡΗ ΟΜΑΔΑ","ΗΝΝ ΕΠΕΚΤΑΣΗ","ΚΑΤΩΤΕΡΗ ΚΕΝΤΡΙΚΗ ΣΕΙΡΑ","Ομάδα","ΟΡΙΖΟΥΣΑ ΣΧΕΣΗ","ΠΑΡΑΓΩΓΟΣ ΥΠΟΟΜΑΔΑ","ΠΑΡΑΣΤΑΣΗ ΟΜΑΔΑΣ","ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΜΗΔΕΝΟΔΥΝΑΜΗ ΟΜΑΔΑ","ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΠΕΠΕΡΑΣΜΕΝΗ ΟΜΑΔΑ","Automorphisms","DERIVED GROUP","FREE GROUP","Group","HNN EXTENSION","LOWER CENTRAL SERIES","PRESENTATION OF GROUPS","RELATOR","RESIDUALLY FINITE GROUP","RESIDUALLY NILPOTENT GROUP","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0799"],"render_values":[{"text":"10.12681/eadd/0799","href":"https://doi.org/10.12681/eadd/0799","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0799","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ράπτης, Ευάγγελος"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1986"]},{"key":"dc:publisher","label":"Institution","values":["National and Kapodistrian University of Athens","Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών (ΕΚΠΑ)"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Αυτομορφισμοί","ΕΛΕΥΘΕΡΗ ΟΜΑΔΑ","ΗΝΝ ΕΠΕΚΤΑΣΗ","ΚΑΤΩΤΕΡΗ ΚΕΝΤΡΙΚΗ ΣΕΙΡΑ","Ομάδα","ΟΡΙΖΟΥΣΑ ΣΧΕΣΗ","ΠΑΡΑΓΩΓΟΣ ΥΠΟΟΜΑΔΑ","ΠΑΡΑΣΤΑΣΗ ΟΜΑΔΑΣ","ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΜΗΔΕΝΟΔΥΝΑΜΗ ΟΜΑΔΑ","ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΠΕΠΕΡΑΣΜΕΝΗ ΟΜΑΔΑ","Automorphisms","DERIVED GROUP","FREE GROUP","Group","HNN EXTENSION","LOWER CENTRAL SERIES","PRESENTATION OF GROUPS","RELATOR","RESIDUALLY FINITE GROUP","RESIDUALLY NILPOTENT GROUP","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0799","http://hdl.handle.net/10442/hedi/0799"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["AT THE SECOND CHAPTER THE DERIVED SUBGROUP OF GROUPS WITH ONE DEFINING RELATIONSTUDIED. AT THE THIRD CHAPTER THE GROUP OF AUTOMORPHISMS OF CERTAIN ONE RELATOR GROUPS STUDIED. AT THE IV CHAPTER THE RESIDUAL PROPERTIES STUDIED LIKE RESIDUALLY FINITENESS, RESIDUALLY NILPOTENCE ETC.","ΣΤΟ ΠΡΩΤΟ ΚΕΦΑΛΑΙΟ ΔΙΝΟΝΤΑΙ ΟΡΙΣΜΟΙ ΚΑΙ ΓΝΩΣΤΕΣ ΠΡΟΤΑΣΕΙΣ ΧΡΗΣΙΜΕΣ ΓΙΑ ΤΑ ΠΑΡΑΚΑΤΩ. ΣΤΟ ΔΕΥΤΕΡΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΑΤΑΙ ΛΕΠΤΟΜΕΡΩΣ Η ΠΑΡΑΓΩΓΟΣ ΥΠΟΟΜΑΔΑ. ΣΤΟ ΤΡΙΤΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΑΤΑΙ Η ΟΜΑΔΑ ΑΥΤΟΜΟΡΦΙΣΜΩΝ ΤΩΝ ΟΜΑΔΩΝ ΜΙΑΣ ΟΡΙΖΟΥΣΑΣ ΣΧΕΣΗΣ. ΑΠΟΤΕΛΕΣΜΑΤΑ ΔΙΝΟΝΤΑΙ ΣΤΗΝ ΠΕΡΙΠΤΩΣΗ ΠΟΥ Η ΟΜΑΔΑ G ΕΧΕΙ ΠΕΠΕΡΑΣΜΕΝΑ ΓΕΝΝΩΜΕΝΗ ΠΑΡΑΓΩΓΟ ΥΠΟΟΜΑΔΑ G' 'Η ΟΤΑΝ Η G' ΙΚΑΝΟΠΟΙΕΙ ΕΝΑ ΜΗ ΤΕΤΡΙΜΜΕΝΟ ΝΟΜΟ. ΣΤΟ ΤΕΛΕΥΤΑΙΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΩΝΤΑΙ ΟΙ ΠΡΟΣΕΓΓΙΣΤΙΚΕΣ ΙΔΙΟΤΗΤΕΣ ΤΩΝ ΟΜΑΔΩΝ ΜΙΑΣ ΟΡΙΖΟΥΣΑΣ ΣΧΕΣΗΣ. ΕΙΔΙΚΩΤΕΡΑ ΜΕΛΕΤΩΝΤΑΙ ΟΙ ΙΔΙΟΤΗΤΕΣ: ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΠΕΠΕΡΑΣΜΕΝΗ ΟΜΑΔΑ, ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΜΗΔΕΝΟΔΥΝΑΜΗ, ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΕΠΙΛΥΣΙΜΗ, ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΕΛΕΥΘΕΡΗ."]},{"key":"dc:title","label":"Title","values":["ΟΜΑΔΕΣ ΑΥΤΟΜΟΡΦΙΣΜΩΝ ΤΩΝ ΟΜΑΔΩΝ ΜΙΑΣ ΟΡΙΖΟΥΣΑΣ ΣΧΕΣΗΣ","AUTOMORPHISM GROUPS OF GROUPS WITH ONE DEFINING RELATION"]}]}],"canonical_facts":{"dc:creator":["Ράπτης, Ευάγγελος"],"dc:date":["1986"],"dc:description":["AT THE SECOND CHAPTER THE DERIVED SUBGROUP OF GROUPS WITH ONE DEFINING RELATIONSTUDIED. AT THE THIRD CHAPTER THE GROUP OF AUTOMORPHISMS OF CERTAIN ONE RELATOR GROUPS STUDIED. AT THE IV CHAPTER THE RESIDUAL PROPERTIES STUDIED LIKE RESIDUALLY FINITENESS, RESIDUALLY NILPOTENCE ETC.","ΣΤΟ ΠΡΩΤΟ ΚΕΦΑΛΑΙΟ ΔΙΝΟΝΤΑΙ ΟΡΙΣΜΟΙ ΚΑΙ ΓΝΩΣΤΕΣ ΠΡΟΤΑΣΕΙΣ ΧΡΗΣΙΜΕΣ ΓΙΑ ΤΑ ΠΑΡΑΚΑΤΩ. ΣΤΟ ΔΕΥΤΕΡΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΑΤΑΙ ΛΕΠΤΟΜΕΡΩΣ Η ΠΑΡΑΓΩΓΟΣ ΥΠΟΟΜΑΔΑ. ΣΤΟ ΤΡΙΤΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΑΤΑΙ Η ΟΜΑΔΑ ΑΥΤΟΜΟΡΦΙΣΜΩΝ ΤΩΝ ΟΜΑΔΩΝ ΜΙΑΣ ΟΡΙΖΟΥΣΑΣ ΣΧΕΣΗΣ. ΑΠΟΤΕΛΕΣΜΑΤΑ ΔΙΝΟΝΤΑΙ ΣΤΗΝ ΠΕΡΙΠΤΩΣΗ ΠΟΥ Η ΟΜΑΔΑ G ΕΧΕΙ ΠΕΠΕΡΑΣΜΕΝΑ ΓΕΝΝΩΜΕΝΗ ΠΑΡΑΓΩΓΟ ΥΠΟΟΜΑΔΑ G' 'Η ΟΤΑΝ Η G' ΙΚΑΝΟΠΟΙΕΙ ΕΝΑ ΜΗ ΤΕΤΡΙΜΜΕΝΟ ΝΟΜΟ. ΣΤΟ ΤΕΛΕΥΤΑΙΟ ΚΕΦΑΛΑΙΟ ΜΕΛΕΤΩΝΤΑΙ ΟΙ ΠΡΟΣΕΓΓΙΣΤΙΚΕΣ ΙΔΙΟΤΗΤΕΣ ΤΩΝ ΟΜΑΔΩΝ ΜΙΑΣ ΟΡΙΖΟΥΣΑΣ ΣΧΕΣΗΣ. ΕΙΔΙΚΩΤΕΡΑ ΜΕΛΕΤΩΝΤΑΙ ΟΙ ΙΔΙΟΤΗΤΕΣ: ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΠΕΠΕΡΑΣΜΕΝΗ ΟΜΑΔΑ, ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΜΗΔΕΝΟΔΥΝΑΜΗ, ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΕΠΙΛΥΣΙΜΗ, ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΕΛΕΥΘΕΡΗ."],"dc:identifier":["10.12681/eadd/0799","http://hdl.handle.net/10442/hedi/0799"],"dc:language":["gre"],"dc:publisher":["National and Kapodistrian University of Athens","Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών (ΕΚΠΑ)"],"dc:subject":["Αυτομορφισμοί","ΕΛΕΥΘΕΡΗ ΟΜΑΔΑ","ΗΝΝ ΕΠΕΚΤΑΣΗ","ΚΑΤΩΤΕΡΗ ΚΕΝΤΡΙΚΗ ΣΕΙΡΑ","Ομάδα","ΟΡΙΖΟΥΣΑ ΣΧΕΣΗ","ΠΑΡΑΓΩΓΟΣ ΥΠΟΟΜΑΔΑ","ΠΑΡΑΣΤΑΣΗ ΟΜΑΔΑΣ","ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΜΗΔΕΝΟΔΥΝΑΜΗ ΟΜΑΔΑ","ΠΡΟΣΕΓΓΙΣΤΙΚΑ ΠΕΠΕΡΑΣΜΕΝΗ ΟΜΑΔΑ","Automorphisms","DERIVED GROUP","FREE GROUP","Group","HNN EXTENSION","LOWER CENTRAL SERIES","PRESENTATION OF GROUPS","RELATOR","RESIDUALLY FINITE GROUP","RESIDUALLY NILPOTENT GROUP","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"dc:title":["ΟΜΑΔΕΣ ΑΥΤΟΜΟΡΦΙΣΜΩΝ ΤΩΝ ΟΜΑΔΩΝ ΜΙΑΣ ΟΡΙΖΟΥΣΑΣ ΣΧΕΣΗΣ","AUTOMORPHISM GROUPS OF GROUPS WITH ONE DEFINING RELATION"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:27Z"}