The Monster group and Majorana involutions /:
This is the first book to contain a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathem...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2009.
|
| Schriftenreihe: | Cambridge tracts in mathematics ;
176. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This is the first book to contain a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups, modular forms and conformal field theory. Through construction via the Monster amalgam - one of the most promising in the modern theory of finite groups - the author observes some important properties of the action of the Monster on its minimal module, which are axiomatized under the name of Majorana involutions. Development of the theory of the groups generated by Majorana involutions leads the author to the conjecture that Monster is the largest group generated by the Majorana involutions. |
| Beschreibung: | 1 online resource (xiii, 252 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 245-250) and index. |
| ISBN: | 9780511518133 0511518137 9780521889940 0521889944 9780511515859 0511515855 0511576811 9780511576812 9780511517648 0511517645 1107201322 9781107201323 0511517130 9780511517136 |
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| 245 | 1 | 4 | |a The Monster group and Majorana involutions / |c A.A. Ivanov. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2009. | ||
| 300 | |a 1 online resource (xiii, 252 pages) : |b illustrations | ||
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| 490 | 1 | |a Cambridge tracts in mathematics ; |v 176 | |
| 504 | |a Includes bibliographical references (pages 245-250) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a M24 and all that -- Monster amalgam [actual symbol not reproducible] -- 196 883-representation of [actual symbol not reproducible] -- 2-local geometries -- Griess algebra -- Automorphisms of Griess algebra -- Important subgroups -- Majorana involutions -- Monster graph -- Fischer's story. | |
| 520 | |a This is the first book to contain a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups, modular forms and conformal field theory. Through construction via the Monster amalgam - one of the most promising in the modern theory of finite groups - the author observes some important properties of the action of the Monster on its minimal module, which are axiomatized under the name of Majorana involutions. Development of the theory of the groups generated by Majorana involutions leads the author to the conjecture that Monster is the largest group generated by the Majorana involutions. | ||
| 546 | |a English. | ||
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| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Involutes (Mathematics) |2 fast | |
| 650 | 7 | |a Sporadic groups (Mathematics) |2 fast | |
| 650 | 7 | |a Monster-Gruppe |2 gnd |0 http://d-nb.info/gnd/4451088-3 | |
| 655 | 0 | |a Electronic books. | |
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Datensatz im Suchindex
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| _version_ | 1816881697568849921 |
| adam_text | |
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| author | Ivanov, A. A. (Aleksandr Anatolievich), 1958- |
| author_GND | http://id.loc.gov/authorities/names/n97061636 |
| author_facet | Ivanov, A. A. (Aleksandr Anatolievich), 1958- |
| author_role | |
| author_sort | Ivanov, A. A. 1958- |
| author_variant | a a i aa aai |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA177 |
| callnumber-raw | QA177 .I94 2009eb |
| callnumber-search | QA177 .I94 2009eb |
| callnumber-sort | QA 3177 I94 42009EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | M24 and all that -- Monster amalgam [actual symbol not reproducible] -- 196 883-representation of [actual symbol not reproducible] -- 2-local geometries -- Griess algebra -- Automorphisms of Griess algebra -- Important subgroups -- Majorana involutions -- Monster graph -- Fischer's story. |
| ctrlnum | (OCoLC)435767558 |
| dewey-full | 512.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.23 |
| dewey-search | 512.23 |
| dewey-sort | 3512.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | Electronic books. |
| genre_facet | Electronic books. |
| id | ZDB-4-EBA-ocn435767558 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:50Z |
| institution | BVB |
| isbn | 9780511518133 0511518137 9780521889940 0521889944 9780511515859 0511515855 0511576811 9780511576812 9780511517648 0511517645 1107201322 9781107201323 0511517130 9780511517136 |
| language | English |
| oclc_num | 435767558 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 252 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge tracts in mathematics ; |
| series2 | Cambridge tracts in mathematics ; |
| spelling | Ivanov, A. A. (Aleksandr Anatolievich), 1958- https://id.oclc.org/worldcat/entity/E39PCjx4dvhgWw7dmbHRc3vgGb http://id.loc.gov/authorities/names/n97061636 The Monster group and Majorana involutions / A.A. Ivanov. Cambridge : Cambridge University Press, 2009. 1 online resource (xiii, 252 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge tracts in mathematics ; 176 Includes bibliographical references (pages 245-250) and index. Print version record. M24 and all that -- Monster amalgam [actual symbol not reproducible] -- 196 883-representation of [actual symbol not reproducible] -- 2-local geometries -- Griess algebra -- Automorphisms of Griess algebra -- Important subgroups -- Majorana involutions -- Monster graph -- Fischer's story. This is the first book to contain a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups, modular forms and conformal field theory. Through construction via the Monster amalgam - one of the most promising in the modern theory of finite groups - the author observes some important properties of the action of the Monster on its minimal module, which are axiomatized under the name of Majorana involutions. Development of the theory of the groups generated by Majorana involutions leads the author to the conjecture that Monster is the largest group generated by the Majorana involutions. English. Sporadic groups (Mathematics) http://id.loc.gov/authorities/subjects/sh86001428 Involutes (Mathematics) http://id.loc.gov/authorities/subjects/sh85067763 Groupes sporadiques (Mathématiques) Développantes (Mathématiques) MATHEMATICS Group Theory. bisacsh Involutes (Mathematics) fast Sporadic groups (Mathematics) fast Monster-Gruppe gnd http://d-nb.info/gnd/4451088-3 Electronic books. has work: The Monster group and Majorana involutions (Text) https://id.oclc.org/worldcat/entity/E39PCFGBjbvwQXT4FcYW8PMdPP https://id.oclc.org/worldcat/ontology/hasWork Print version: Ivanov, A.A. (Aleksandr Anatolievich), 1958- Monster group and Majorana involutions. Cambridge : Cambridge University Press, 2009 9780521889940 0521889944 (OCoLC)295002283 Cambridge tracts in mathematics ; 176. http://id.loc.gov/authorities/names/n42005726 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=273815 Volltext |
| spellingShingle | Ivanov, A. A. (Aleksandr Anatolievich), 1958- The Monster group and Majorana involutions / Cambridge tracts in mathematics ; M24 and all that -- Monster amalgam [actual symbol not reproducible] -- 196 883-representation of [actual symbol not reproducible] -- 2-local geometries -- Griess algebra -- Automorphisms of Griess algebra -- Important subgroups -- Majorana involutions -- Monster graph -- Fischer's story. Sporadic groups (Mathematics) http://id.loc.gov/authorities/subjects/sh86001428 Involutes (Mathematics) http://id.loc.gov/authorities/subjects/sh85067763 Groupes sporadiques (Mathématiques) Développantes (Mathématiques) MATHEMATICS Group Theory. bisacsh Involutes (Mathematics) fast Sporadic groups (Mathematics) fast Monster-Gruppe gnd http://d-nb.info/gnd/4451088-3 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh86001428 http://id.loc.gov/authorities/subjects/sh85067763 http://d-nb.info/gnd/4451088-3 |
| title | The Monster group and Majorana involutions / |
| title_auth | The Monster group and Majorana involutions / |
| title_exact_search | The Monster group and Majorana involutions / |
| title_full | The Monster group and Majorana involutions / A.A. Ivanov. |
| title_fullStr | The Monster group and Majorana involutions / A.A. Ivanov. |
| title_full_unstemmed | The Monster group and Majorana involutions / A.A. Ivanov. |
| title_short | The Monster group and Majorana involutions / |
| title_sort | monster group and majorana involutions |
| topic | Sporadic groups (Mathematics) http://id.loc.gov/authorities/subjects/sh86001428 Involutes (Mathematics) http://id.loc.gov/authorities/subjects/sh85067763 Groupes sporadiques (Mathématiques) Développantes (Mathématiques) MATHEMATICS Group Theory. bisacsh Involutes (Mathematics) fast Sporadic groups (Mathematics) fast Monster-Gruppe gnd http://d-nb.info/gnd/4451088-3 |
| topic_facet | Sporadic groups (Mathematics) Involutes (Mathematics) Groupes sporadiques (Mathématiques) Développantes (Mathématiques) MATHEMATICS Group Theory. Monster-Gruppe Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=273815 |
| work_keys_str_mv | AT ivanovaa themonstergroupandmajoranainvolutions AT ivanovaa monstergroupandmajoranainvolutions |