The monster group and majorana involutions

著者

• Ivanov, A. A.

書誌事項

The monster group and majorana involutions

A.A. Ivanov

（Cambridge tracts in mathematics, 176）

Cambridge University Press, 2009

• : Hardback

注記

Includes bibliographical reference (p. 245-250) and index

内容説明・目次

内容説明

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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups,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.

目次

• Preface
• 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
• References
• Index.

「Nielsen BookData」 より

• NII書誌ID(NCID): BA89478917
• ISBN:
  • 9780521889940
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: xiii, 252 p.
• 大きさ: 24 cm
• 分類:
  • DC22 : 512.23
• 件名:
  • LCSH : Sporadic groups (Mathematics)
  • LCSH : Involutes (Mathematics)
• 親書誌ID:
  • BA00134372