The art of working with the Mathieu group M24:
The Leech lattice Λ, the Conway group ∙O, and the Monster group M are immensely famous structures. They each grow out of the Mathieu group M24 and its underlying combinatorial structure, and play an important role in various branches of mathematics and in theoretical physics. Written by an expert in...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2025
|
| Schriftenreihe: | Cambridge tracts in mathematics
232 |
| Links: | https://doi.org/10.1017/9781009405683 |
| Zusammenfassung: | The Leech lattice Λ, the Conway group ∙O, and the Monster group M are immensely famous structures. They each grow out of the Mathieu group M24 and its underlying combinatorial structure, and play an important role in various branches of mathematics and in theoretical physics. Written by an expert in the field, this book provides a new generation of mathematicians with the intimate knowledge of M24 needed to understand these beautiful objects, and many others. It starts by exploring Steiner systems, before introducing the Miracle Octad Generator (MOG) as a device for working with the Steiner system S(5,8,24). Emphasizing how theoretical and computational approaches complement one another, the author describes how familiarity with M24 leads to the concept of 'symmetric generation' of groups. The final chapter brings together the various strands of the book to produce a nested chain of groups culminating in the largest Conway simple group Co1. |
| Umfang: | 1 Online-Ressource (xxi, 285 Seiten) |
| ISBN: | 9781009405683 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781009405683 | ||
| 003 | UkCbUP | ||
| 005 | 20241106104943.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 230120s2025||||enk o ||1 0|eng|d | ||
| 020 | |a 9781009405683 | ||
| 100 | 1 | |a Curtis, Robert |d 1946- | |
| 245 | 1 | 4 | |a The art of working with the Mathieu group M24 |c Robert T. Curtis |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2025 | |
| 300 | |a 1 Online-Ressource (xxi, 285 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a Cambridge tracts in mathematics |v 232 | |
| 520 | |a The Leech lattice Λ, the Conway group ∙O, and the Monster group M are immensely famous structures. They each grow out of the Mathieu group M24 and its underlying combinatorial structure, and play an important role in various branches of mathematics and in theoretical physics. Written by an expert in the field, this book provides a new generation of mathematicians with the intimate knowledge of M24 needed to understand these beautiful objects, and many others. It starts by exploring Steiner systems, before introducing the Miracle Octad Generator (MOG) as a device for working with the Steiner system S(5,8,24). Emphasizing how theoretical and computational approaches complement one another, the author describes how familiarity with M24 leads to the concept of 'symmetric generation' of groups. The final chapter brings together the various strands of the book to produce a nested chain of groups culminating in the largest Conway simple group Co1. | ||
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781009405676 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/9781009405683 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781009405683 |
|---|---|
| _version_ | 1825574045665460226 |
| adam_text | |
| any_adam_object | |
| author | Curtis, Robert 1946- |
| author_facet | Curtis, Robert 1946- |
| author_role | |
| author_sort | Curtis, Robert 1946- |
| author_variant | r c rc |
| 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>01704nam a2200253 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781009405683</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20241106104943.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">230120s2025||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781009405683</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Curtis, Robert</subfield><subfield code="d">1946-</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The art of working with the Mathieu group M24</subfield><subfield code="c">Robert T. Curtis</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2025</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xxi, 285 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">Cambridge tracts in mathematics</subfield><subfield code="v">232</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The Leech lattice Λ, the Conway group ∙O, and the Monster group M are immensely famous structures. They each grow out of the Mathieu group M24 and its underlying combinatorial structure, and play an important role in various branches of mathematics and in theoretical physics. Written by an expert in the field, this book provides a new generation of mathematicians with the intimate knowledge of M24 needed to understand these beautiful objects, and many others. It starts by exploring Steiner systems, before introducing the Miracle Octad Generator (MOG) as a device for working with the Steiner system S(5,8,24). Emphasizing how theoretical and computational approaches complement one another, the author describes how familiarity with M24 leads to the concept of 'symmetric generation' of groups. The final chapter brings together the various strands of the book to produce a nested chain of groups culminating in the largest Conway simple group Co1.</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">9781009405676</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/10.1017/9781009405683</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-CR9781009405683 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:57:59Z |
| institution | BVB |
| isbn | 9781009405683 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xxi, 285 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2025 |
| publishDateSearch | 2025 |
| publishDateSort | 2025 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Curtis, Robert 1946- The art of working with the Mathieu group M24 Robert T. Curtis Cambridge Cambridge University Press 2025 1 Online-Ressource (xxi, 285 Seiten) txt c cr Cambridge tracts in mathematics 232 The Leech lattice Λ, the Conway group ∙O, and the Monster group M are immensely famous structures. They each grow out of the Mathieu group M24 and its underlying combinatorial structure, and play an important role in various branches of mathematics and in theoretical physics. Written by an expert in the field, this book provides a new generation of mathematicians with the intimate knowledge of M24 needed to understand these beautiful objects, and many others. It starts by exploring Steiner systems, before introducing the Miracle Octad Generator (MOG) as a device for working with the Steiner system S(5,8,24). Emphasizing how theoretical and computational approaches complement one another, the author describes how familiarity with M24 leads to the concept of 'symmetric generation' of groups. The final chapter brings together the various strands of the book to produce a nested chain of groups culminating in the largest Conway simple group Co1. Erscheint auch als Druck-Ausgabe 9781009405676 |
| spellingShingle | Curtis, Robert 1946- The art of working with the Mathieu group M24 |
| title | The art of working with the Mathieu group M24 |
| title_auth | The art of working with the Mathieu group M24 |
| title_exact_search | The art of working with the Mathieu group M24 |
| title_full | The art of working with the Mathieu group M24 Robert T. Curtis |
| title_fullStr | The art of working with the Mathieu group M24 Robert T. Curtis |
| title_full_unstemmed | The art of working with the Mathieu group M24 Robert T. Curtis |
| title_short | The art of working with the Mathieu group M24 |
| title_sort | art of working with the mathieu group m24 |
| work_keys_str_mv | AT curtisrobert theartofworkingwiththemathieugroupm24 AT curtisrobert artofworkingwiththemathieugroupm24 |