Jump to ContentJump to Main Navigation
Users without a subscription are not able to see the full content.

## Alexander A. Ivanov

Print publication date: 2004

Print ISBN-13: 9780198527596

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198527596.001.0001

# TOWARDS 2+1+12· 3· Aut (M22)

Chapter:
(p.76) 5 TOWARDS $2 + 1 + 12 · 3 · Aut ( M 22 )$
Source:
The Fourth Janko Group
Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198527596.003.0005

This chapter shows that N[3] is the extraspecial group Q[3] ≅ 21+12 + extended by a group R of order 3 acting fixed-point freely on Q[3]/Z[3] (where Z[3] is the centre of Q[3]/) and that G[3] is the automorphism group Aut (M22) of the sporadic Mathieu group M22. Shpectorov's geometric characterization of M22 in terms of a Petersen type geometry is used. The sporadic Mathieu group M22 appears before any specific completions of G can be considered.

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .