Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-06-17T13:07:44.969Z Has data issue: false hasContentIssue false

Preface

Published online by Cambridge University Press:  12 January 2010

Victor P. Snaith
Affiliation:
McMaster University, Ontario
Get access

Summary

‘Funny that you should ask. As it happens I have a complete mathematical vision of power. You could call it a programme. Some pieces are in place, some theorems are proved, others await proof and revelation. It is based on the theory of schemes.’

‘Of finite type?’ asked Zhilin, with rapt curiosity.

‘Any type, my friend, any type at all.’

‘Schemes, eh.’ Eli nodded his approval.‘Good. Good.’

‘Schemes are a little like the crania of topology with little light bulbs of algebra, called sheaves, stuck all over them.’

‘Sheaves, very good. Very agriculdural.’

from The Yukiad (Snaith, 1990c)

This volume began as a one-term advanced graduate course in algebra which I gave at the beginning of 1990 at McMaster University. As originally conceived my plan was to give a brief introduction to the representation theory of finite groups in characteristic zero. This sketch was to have been succeeded by an outline of the topological construction of my original Explicit Brauer Induction formula (Snaith, 1988b, 1989b) followed by a description of the behaviour of Explicit Brauer Induction with respect to Adams operations 4.1.6 as originally proved in theorem 2.33 of Snaith (1989a). Equipped with 4.1.6 the course was then to have concluded with a discussion of class-groups of group-rings and a proof of M.J. Taylor's conjecture concerning determinantal congruences 4.3.10 (see also the stronger congruences of 4.3.37).

However, in 1989, I learnt of the work of Robert Boltje (1989, 1990) which axiomatised Explicit Brauer Induction formulae and, entirely algebraically, found a different formula.

Type
Chapter
Information
Explicit Brauer Induction
With Applications to Algebra and Number Theory
, pp. vii - xii
Publisher: Cambridge University Press
Print publication year: 1994

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Preface
  • Victor P. Snaith, McMaster University, Ontario
  • Book: Explicit Brauer Induction
  • Online publication: 12 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511600746.001
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Preface
  • Victor P. Snaith, McMaster University, Ontario
  • Book: Explicit Brauer Induction
  • Online publication: 12 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511600746.001
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Preface
  • Victor P. Snaith, McMaster University, Ontario
  • Book: Explicit Brauer Induction
  • Online publication: 12 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511600746.001
Available formats
×