Office hours with a geometric group theorist /:
Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruct...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, New Jersey :
Princeton University Press,
[2017]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups--actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects. |
| Beschreibung: | 1 online resource (xii, 441 pages) : illustrations (some color) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781400885398 1400885396 |
Internformat
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| 300 | |a 1 online resource (xii, 441 pages) : |b illustrations (some color) | ||
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| 505 | 0 | 0 | |t Groups / |r Matt Clay and Dan Margalit -- |t ... and spaces / |r Matt Clay and Dan Margalit -- |t Groups acting on trees / |r Dan Margalit -- |t Free groups and folding / |r Matt Clay -- |t The ping-pong lemma / |r Johanna Mangahas -- |t Automorphisms of free groups / |r Matt Clay -- |t Quasi-isometries / |r Dan Margalit and Anne Thomas -- |t Dehn functions / |t Timothy Riley -- |t Hyperbolic groups / |r Moon Duchin -- |t Ends of groups / |r Nic Koban and John Meier -- |t Asymptotic dimension / |r Greg Bell -- |t Growth of groups / |r Eric Freden -- |t Coxeter groups / |r Adam Piggott -- |t Right-angled artin groups / |r Robert W. Bell and Matt Clay -- |t Lamplighter groups / |r Jennifer Taback -- |t Thompson's group / |r Sean Cleary -- |t Mapping class groups / |r Tara Brendle, Leah Childers, and Dan Margalit -- |t Braids / |r Aaron Abrams. |
| 520 | |a Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups--actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects. | ||
| 546 | |a In English. | ||
| 650 | 0 | |a Geometric group theory. |0 http://id.loc.gov/authorities/subjects/sh92001537 | |
| 650 | 6 | |a Théorie géométrique des groupes. | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn987790936 |
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| _version_ | 1813903759460270080 |
| adam_text | |
| any_adam_object | |
| author2 | Clay, Matt Margalit, Dan, 1976- |
| author2_role | edt edt |
| author2_variant | m c mc d m dm |
| author_GND | http://id.loc.gov/authorities/names/no2017118419 http://id.loc.gov/authorities/names/n2011014326 |
| author_additional | Matt Clay and Dan Margalit -- Dan Margalit -- Matt Clay -- Johanna Mangahas -- Dan Margalit and Anne Thomas -- Moon Duchin -- Nic Koban and John Meier -- Greg Bell -- Eric Freden -- Adam Piggott -- Robert W. Bell and Matt Clay -- Jennifer Taback -- Sean Cleary -- Tara Brendle, Leah Childers, and Dan Margalit -- Aaron Abrams. |
| author_facet | Clay, Matt Margalit, Dan, 1976- |
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| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA183 |
| callnumber-raw | QA183 .O44 2017 |
| callnumber-search | QA183 .O44 2017 |
| callnumber-sort | QA 3183 O44 42017 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 260 |
| collection | ZDB-4-EBA |
| contents | Groups / ... and spaces / Groups acting on trees / Free groups and folding / The ping-pong lemma / Automorphisms of free groups / Quasi-isometries / Dehn functions / Timothy Riley -- Hyperbolic groups / Ends of groups / Asymptotic dimension / Growth of groups / Coxeter groups / Right-angled artin groups / Lamplighter groups / Thompson's group / Mapping class groups / Braids / |
| ctrlnum | (OCoLC)987790936 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn987790936 |
| illustrated | Illustrated |
| indexdate | 2024-10-25T16:23:47Z |
| institution | BVB |
| isbn | 9781400885398 1400885396 |
| language | English |
| lccn | 2016960820 |
| oclc_num | 987790936 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (xii, 441 pages) : illustrations (some color) |
| psigel | ZDB-4-EBA |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Princeton University Press, |
| record_format | marc |
| spelling | Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit. Princeton, New Jersey : Princeton University Press, [2017] ©2017 1 online resource (xii, 441 pages) : illustrations (some color) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Includes bibliographical references and index. Online resource; title from PDF title page (EBSCO, viewed June 6, 2017). Groups / Matt Clay and Dan Margalit -- ... and spaces / Matt Clay and Dan Margalit -- Groups acting on trees / Dan Margalit -- Free groups and folding / Matt Clay -- The ping-pong lemma / Johanna Mangahas -- Automorphisms of free groups / Matt Clay -- Quasi-isometries / Dan Margalit and Anne Thomas -- Dehn functions / Timothy Riley -- Hyperbolic groups / Moon Duchin -- Ends of groups / Nic Koban and John Meier -- Asymptotic dimension / Greg Bell -- Growth of groups / Eric Freden -- Coxeter groups / Adam Piggott -- Right-angled artin groups / Robert W. Bell and Matt Clay -- Lamplighter groups / Jennifer Taback -- Thompson's group / Sean Cleary -- Mapping class groups / Tara Brendle, Leah Childers, and Dan Margalit -- Braids / Aaron Abrams. Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups--actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects. In English. Geometric group theory. http://id.loc.gov/authorities/subjects/sh92001537 Théorie géométrique des groupes. MATHEMATICS Algebra Intermediate. bisacsh MATHEMATICS Geometry General. bisacsh Geometric group theory fast Clay, Matt, editor. http://id.loc.gov/authorities/names/no2017118419 Margalit, Dan, 1976- editor. https://id.oclc.org/worldcat/entity/E39PCjCRhQYHmfKCtxyVYMVgXb http://id.loc.gov/authorities/names/n2011014326 has work: Office hours with a geometric group theorist (Text) https://id.oclc.org/worldcat/entity/E39PCFx8JfkgJ7ymYd7vrh6mgq https://id.oclc.org/worldcat/ontology/hasWork Print version: 0691158665 Print version: 1400885396 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1467849 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1467849 Volltext |
| spellingShingle | Office hours with a geometric group theorist / Groups / ... and spaces / Groups acting on trees / Free groups and folding / The ping-pong lemma / Automorphisms of free groups / Quasi-isometries / Dehn functions / Timothy Riley -- Hyperbolic groups / Ends of groups / Asymptotic dimension / Growth of groups / Coxeter groups / Right-angled artin groups / Lamplighter groups / Thompson's group / Mapping class groups / Braids / Geometric group theory. http://id.loc.gov/authorities/subjects/sh92001537 Théorie géométrique des groupes. MATHEMATICS Algebra Intermediate. bisacsh MATHEMATICS Geometry General. bisacsh Geometric group theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh92001537 |
| title | Office hours with a geometric group theorist / |
| title_alt | Groups / ... and spaces / Groups acting on trees / Free groups and folding / The ping-pong lemma / Automorphisms of free groups / Quasi-isometries / Dehn functions / Timothy Riley -- Hyperbolic groups / Ends of groups / Asymptotic dimension / Growth of groups / Coxeter groups / Right-angled artin groups / Lamplighter groups / Thompson's group / Mapping class groups / Braids / |
| title_auth | Office hours with a geometric group theorist / |
| title_exact_search | Office hours with a geometric group theorist / |
| title_full | Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit. |
| title_fullStr | Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit. |
| title_full_unstemmed | Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit. |
| title_short | Office hours with a geometric group theorist / |
| title_sort | office hours with a geometric group theorist |
| topic | Geometric group theory. http://id.loc.gov/authorities/subjects/sh92001537 Théorie géométrique des groupes. MATHEMATICS Algebra Intermediate. bisacsh MATHEMATICS Geometry General. bisacsh Geometric group theory fast |
| topic_facet | Geometric group theory. Théorie géométrique des groupes. MATHEMATICS Algebra Intermediate. MATHEMATICS Geometry General. Geometric group theory |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1467849 |
| work_keys_str_mv | AT claymatt officehourswithageometricgrouptheorist AT margalitdan officehourswithageometricgrouptheorist |