Items related to The Art of Working with the Mathieu Group M24: Series...

The Art of Working with the Mathieu Group M24: Series Number 232 (Cambridge Tracts in Mathematics, Series Number 232) - Hardcover

Robert T. Curtis

 
9781009405676: The Art of Working with the Mathieu Group M24: Series Number 232 (Cambridge Tracts in Mathematics, Series Number 232)
Hardcover
ISBN 10: 1009405675 ISBN 13: 9781009405676
Publisher: Cambridge University Press, 2024

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2024
Language
English
ISBN 10 
1009405675
ISBN 13 
9781009405676
Binding
Hardcover
Number of pages
305