Lectures on finitely generated solvable groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
|
| Schriftenreihe: | SpringerBriefs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461454496 9781461454502 |
| DOI: | 10.1007/978-1-4614-5450-2 |
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Datensatz im Suchindex
| _version_ | 1804149794316222464 |
|---|---|
| adam_text | LECTURES ON FINITELY GENERATED SOLVABLE GROUPS
/ BENCSATH, KATALIN A.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FOREWORD
PREFACE.- PRELIMINARIES.- TOOLS: PRESENTATIONS AND THEIR
CALCULUS.- CONSTRUCTIONS
REPRESENTATIONS ANDATHEOREM OF KRASNER AND KALOUJNINE.-THE
BIERI-STREBEL THEOREMS
FINITELY GENERATED METABELIAN GROUPS
AN EMBEDDING THEOREM FOR FINITELY GENERATED METABELIAN GROUPS .-SKETCH
OF PROOF OF LEMMA 1.1
THEOREM 2.1 DETAILS
PRESENTING AN (INTERNAL) HNN-EXTENSION
REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LECTURES ON FINITELY GENERATED SOLVABLE GROUPS
/ BENCSATH, KATALIN A.
: 2013
ABSTRACT / INHALTSTEXT
LECTURES ON FINITELY GENERATED SOLVABLE GROUPS ARE BASED ON THE
“TOPICS IN GROUP THEORY COURSE FOCUSED ON FINITELY GENERATED SOLVABLE
GROUPS THAT WAS GIVEN BY GILBERT G. BAUMSLAG AT THE GRADUATE SCHOOL AND
UNIVERSITY CENTER OF THE CITY UNIVERSITY OF NEW YORK. WHILE KNOWLEDGE
ABOUT FINITELY GENERATED NILPOTENT GROUPS IS EXTENSIVE, MUCH LESS IS
KNOWN ABOUT THE MORE GENERAL CLASS OF SOLVABLE GROUPS CONTAINING THEM.
THE STUDY OF FINITELY GENERATED SOLVABLE GROUPS INVOLVES MANY DIFFERENT
THREADS; THEREFORETHESE NOTES CONTAIN DISCUSSIONS ON HNN EXTENSIONS;
AMALGAMATED AND WREATH PRODUCTS; AND OTHER CONCEPTS FROM COMBINATORIAL
GROUP THEORY AS WELL AS COMMUTATIVE ALGEBRA. ALONG WITH BAUMSLAG’S
EMBEDDING THEOREM FOR FINITELY GENERATED METABELIAN GROUPS, TWO THEOREMS
OF BIERI AND STREBEL ARE PRESENTED TO PROVIDE A SOLID FOUNDATION FOR
UNDERSTANDING THE FASCINATING CLASS OF FINITELY GENERATED SOLVABLE
GROUPS. EXAMPLES ARE ALSO SUPPLIED, WHICH HELP ILLUMINATE MANY OF THE
KEY CONCEPTS CONTAINED IN THE NOTES. REQUIRING ONLY A MODEST INITIAL
GROUP THEORY BACKGROUND FROM GRADUATE AND POST-GRADUATE STUDENTS, THESE
NOTES PROVIDE A FIELD GUIDE TO THE CLASS OF FINITELY GENERATED SOLVABLE
GROUPS FROMA COMBINATORIAL GROUP THEORY PERSPECTIVE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Bencsáth, Katalin A. |
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| author_role | aut |
| author_sort | Bencsáth, Katalin A. |
| author_variant | k a b ka kab |
| building | Verbundindex |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
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| discipline | Mathematik |
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| spelling | Bencsáth, Katalin A. Verfasser (DE-588)1029630143 aut Lectures on finitely generated solvable groups Katalin A. Bencsáth ... New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematics Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s 1\p DE-604 https://doi.org/10.1007/978-1-4614-5450-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025494542&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025494542&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
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| title | Lectures on finitely generated solvable groups |
| title_auth | Lectures on finitely generated solvable groups |
| title_exact_search | Lectures on finitely generated solvable groups |
| title_full | Lectures on finitely generated solvable groups Katalin A. Bencsáth ... |
| title_fullStr | Lectures on finitely generated solvable groups Katalin A. Bencsáth ... |
| title_full_unstemmed | Lectures on finitely generated solvable groups Katalin A. Bencsáth ... |
| title_short | Lectures on finitely generated solvable groups |
| title_sort | lectures on finitely generated solvable groups |
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