Enumeration of Finite Groups
£111.00
Part of Cambridge Tracts in Mathematics
- Authors:
- Simon R. Blackburn, Royal Holloway, University of London
- Peter M. Neumann, The Queen's College, Oxford
- Geetha Venkataraman, University of Delhi
- Date Published: October 2007
- availability: Available
- format: Hardback
- isbn: 9780521882170
£
111.00
Hardback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
How many groups of order n are there? This is a natural question for anyone studying group theory, and this Tract provides an exhaustive and up-to-date account of research into this question spanning almost fifty years. The authors presuppose an undergraduate knowledge of group theory, up to and including Sylow's Theorems, a little knowledge of how a group may be presented by generators and relations, a very little representation theory from the perspective of module theory, and a very little cohomology theory - but most of the basics are expounded here and the book is more or less self-contained. Although it is principally devoted to a connected exposition of an agreeable theory, the book does also contain some material that has not hitherto been published. It is designed to be used as a graduate text but also as a handbook for established research workers in group theory.
Read more- The first book devoted to this exciting and vigorous area of modern group-theoretic research
- Written by leading specialists in the field; contains hitherto unpublished material
- Includes many open problems - ideal for graduate students in group theory
Reviews & endorsements
'… a welcome and well-written addition to the theory of finite groups.' EMS Newsletter
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: October 2007
- format: Hardback
- isbn: 9780521882170
- length: 294 pages
- dimensions: 236 x 160 x 19 mm
- weight: 0.532kg
- contains: 37 exercises
- availability: Available
Table of Contents
1. Introduction
Part I. Elementary Results:
2. Some basic observations
Part II. Groups of Prime Power Order:
3. Preliminaries
4. Enumerating p-groups: a lower bound
5. Enumerating p-groups: upper bounds
Part III. Pyber's Theorem:
6. Some more preliminaries
7. Group extensions and cohomology
8. Some representation theory
9. Primitive soluble linear groups
10. The orders of groups
11. Conjugacy classes of maximal soluble subgroups of symmetric groups
12. Enumeration of finite groups with abelian Sylow subgroups
13. Maximal soluble linear groups
14. Conjugacy classes of maximal soluble subgroups of the general linear group
15. Pyber's theorem: the soluble case
16. Pyber's theorem: the general case
Part IV. Other Topics:
17. Enumeration within varieties of abelian groups
18. Enumeration within small varieties of A-groups
19. Enumeration within small varieties of p-groups
20. Miscellanea
21. Survey of other results
22. Some open problems
Appendix A. Maximising two equations.
Related Books
related journals
also by this author
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
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.
×