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Cover: 9781009405676 | The Art of Working with the Mathieu Group M24 | Robert T. Curtis
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The Art of Working with the Mathieu Group M24
Buch von Robert T. Curtis
Sprache: Englisch

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Beschreibung
The group M24 leads to the Leech lattice, leading to the largest Conway group, and thence to the Monster group. Every mathematician has heard of these structures; balancing theory and computation, the book explains where they come from, in a manner accessible to advanced undergraduates, research students and senior researchers.
The group M24 leads to the Leech lattice, leading to the largest Conway group, and thence to the Monster group. Every mathematician has heard of these structures; balancing theory and computation, the book explains where they come from, in a manner accessible to advanced undergraduates, research students and senior researchers.
Über den Autor
Robert T. Curtis is Emeritus Professor of Combinatorial Algebra at the University of Birmingham. He is the author of 'Symmetric Generation of Groups' (2007) and co-author of 'An Atlas of Finite Groups' (1985). He was the London Mathematical Society Librarian from 2003 to 2007 and Treasurer from 2011 to 2020.
Inhaltsverzeichnis
1. Introduction; 2. Steiner systems; 3. The Miracle Octad Generator; 4. The binary Golay code; 5. Uniqueness of the Steiner system S(5,8,24) and the group M24; 6. The hexacode; 7. Elements of the Mathieu group M24; 8. The maximal subgroups of M24; 9. The Mathieu group M12; 10. The Leech lattice ¿; 11. The Conway group ·O; 12. Permutation actions of M24; 13. Natural generators of the Mathieu groups; 14. Symmetric Generation using M24; 15. The Thompson chain of subgroups of Co1; Appendix. Magma code for 7*36 : A9 ¿ Co1; References; Index.
Details
Erscheinungsjahr: 2024
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781009405676
ISBN-10: 1009405675
Sprache: Englisch
Einband: Gebunden
Autor: Curtis, Robert T.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 21 mm
Von/Mit: Robert T. Curtis
Erscheinungsdatum: 14.11.2024
Gewicht: 0,599 kg
Artikel-ID: 129353340
Über den Autor
Robert T. Curtis is Emeritus Professor of Combinatorial Algebra at the University of Birmingham. He is the author of 'Symmetric Generation of Groups' (2007) and co-author of 'An Atlas of Finite Groups' (1985). He was the London Mathematical Society Librarian from 2003 to 2007 and Treasurer from 2011 to 2020.
Inhaltsverzeichnis
1. Introduction; 2. Steiner systems; 3. The Miracle Octad Generator; 4. The binary Golay code; 5. Uniqueness of the Steiner system S(5,8,24) and the group M24; 6. The hexacode; 7. Elements of the Mathieu group M24; 8. The maximal subgroups of M24; 9. The Mathieu group M12; 10. The Leech lattice ¿; 11. The Conway group ·O; 12. Permutation actions of M24; 13. Natural generators of the Mathieu groups; 14. Symmetric Generation using M24; 15. The Thompson chain of subgroups of Co1; Appendix. Magma code for 7*36 : A9 ¿ Co1; References; Index.
Details
Erscheinungsjahr: 2024
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781009405676
ISBN-10: 1009405675
Sprache: Englisch
Einband: Gebunden
Autor: Curtis, Robert T.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 21 mm
Von/Mit: Robert T. Curtis
Erscheinungsdatum: 14.11.2024
Gewicht: 0,599 kg
Artikel-ID: 129353340
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