The art of working with the Mathieu group M₂₄ / Robert T. Curtis, University of Birmingham.

Format:

Book

Author/Creator:

Curtis, Robert, 1946- author.

Series:

Cambridge tracts in mathematics ; 232.

Cambridge tracts in mathematics ; 232

Language:

English

Subjects (All):

Sporadic groups (Mathematics).

Physical Description:

xxi, 285 pages : illustrations ; 24 cm.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2025.

Summary:

"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"-- Provided by publisher.

Contents:

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 Λ

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.

Notes:

Includes bibliographical references and index.

Other Format:

Online version: Curtis, Robert, 1946- Art of working with the Mathieu group M24

ISBN:

9781009405676

1009405675

OCLC:

1430498984