The Monster Group and Majorana Involutions
Part of Cambridge Tracts in Mathematics
- Author: A. A. Ivanov, Imperial College of Science, Technology and Medicine, London
Adobe eBook Reader
Other available formats:
Looking for an inspection copy?
This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact email@example.com providing details of the course you are teaching.
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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups,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.Read more
- Contains elementary definitions of Majorana involutions for beginners in the subject
- Provides an example of a complete treatment of the method of group amalgams
- A useful resource for any mathematician using finite group theory
Reviews & endorsements
'This book contains the basic knowledge on the Monster group in a very accessible way. some results are published in this book for the first time. Many are not even easily found in literature. Hence the book is a very good source for any group theorist who is interested in sporadic simple groups.' Zentralblatt MATH
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: May 2009
- format: Adobe eBook Reader
- isbn: 9780511513138
- contains: 15 tables
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. M24 and all that
2. The Monster amalgam M
3. 196 883-representation of M
4. 2-local geometries
5. Griess algebra
6. Automorphisms of Griess algebra
7. Important subgroups
8. Majorana involutions
9. The Monster graph
10. Fischer's story
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×