Groups, languages, and automata:
Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms...
Saved in:
| Other Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2017
|
| Series: | London Mathematical Society student texts
88 |
| Links: | https://doi.org/10.1017/9781316588246 |
| Summary: | Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group theory. |
| Physical Description: | 1 Online-Ressource (xi, 294 Seiten) |
| ISBN: | 9781316588246 |
Staff View
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781316588246 | ||
| 003 | UkCbUP | ||
| 005 | 20170324140358.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 151001s2017||||enk o ||1 0|eng|d | ||
| 020 | |a 9781316588246 | ||
| 100 | 1 | |a Holt, Derek F. |e uthor | |
| 245 | 1 | 0 | |a Groups, languages, and automata |c Derek F. Holt, University of Warwick, Sarah Rees, University of Newcastle upon Tyne, Claas E. Röver, National University of Ireland, Galway |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2017 | |
| 300 | |a 1 Online-Ressource (xi, 294 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a London Mathematical Society student texts |v 88 | |
| 520 | |a Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group theory. | ||
| 700 | 1 | |a Rees, Sarah | |
| 700 | 1 | |a Röver, Claas E. | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107152359 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781316606520 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/9781316588246 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Record in the Search Index
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781316588246 |
|---|---|
| _version_ | 1827038447199584257 |
| adam_text | |
| any_adam_object | |
| author2 | Rees, Sarah Röver, Claas E. |
| author2_role | |
| author2_variant | s r sr c e r ce cer |
| author_facet | Rees, Sarah Röver, Claas E. |
| author_sort | Rees, Sarah |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01972nam a2200289 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781316588246</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20170324140358.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">151001s2017||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781316588246</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Holt, Derek F.</subfield><subfield code="e">uthor</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Groups, languages, and automata</subfield><subfield code="c">Derek F. Holt, University of Warwick, Sarah Rees, University of Newcastle upon Tyne, Claas E. Röver, National University of Ireland, Galway</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2017</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xi, 294 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society student texts</subfield><subfield code="v">88</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group theory.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rees, Sarah</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Röver, Claas E.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107152359</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781316606520</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/9781316588246</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781316588246 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-19T15:54:02Z |
| institution | BVB |
| isbn | 9781316588246 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xi, 294 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society student texts |
| spelling | Holt, Derek F. uthor Groups, languages, and automata Derek F. Holt, University of Warwick, Sarah Rees, University of Newcastle upon Tyne, Claas E. Röver, National University of Ireland, Galway Cambridge Cambridge University Press 2017 1 Online-Ressource (xi, 294 Seiten) txt c cr London Mathematical Society student texts 88 Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group theory. Rees, Sarah Röver, Claas E. Erscheint auch als Druck-Ausgabe 9781107152359 Erscheint auch als Druck-Ausgabe 9781316606520 |
| spellingShingle | Groups, languages, and automata |
| title | Groups, languages, and automata |
| title_auth | Groups, languages, and automata |
| title_exact_search | Groups, languages, and automata |
| title_full | Groups, languages, and automata Derek F. Holt, University of Warwick, Sarah Rees, University of Newcastle upon Tyne, Claas E. Röver, National University of Ireland, Galway |
| title_fullStr | Groups, languages, and automata Derek F. Holt, University of Warwick, Sarah Rees, University of Newcastle upon Tyne, Claas E. Röver, National University of Ireland, Galway |
| title_full_unstemmed | Groups, languages, and automata Derek F. Holt, University of Warwick, Sarah Rees, University of Newcastle upon Tyne, Claas E. Röver, National University of Ireland, Galway |
| title_short | Groups, languages, and automata |
| title_sort | groups languages and automata |
| work_keys_str_mv | AT holtderekf groupslanguagesandautomata AT reessarah groupslanguagesandautomata AT roverclaase groupslanguagesandautomata |