Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2025-01-04T10:06:52.461Z Has data issue: false hasContentIssue false
  • English
  • Français

LOCAL CHARACTERISTIC $p$ COMPLETIONS OF WEAK $BN$-PAIRS

Published online by Cambridge University Press:  07 August 2006

CHRISTOPHER PARKER  and
PETER ROWLEY
CHRISTOPHER PARKER
Affiliation:
School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, United [email protected]
PETER ROWLEY
Affiliation:
School of Mathematics, University of Manchester, P.O. Box 88, Manchester, M60 1QD, United [email protected]
Get access

Abstract

This paper establishes recognition theorems for the finite Lie-type groups defined in odd characteristic $p$. The hypotheses of these theorems are couched in terms of certain local data in the form of an amalgam which is called a weak $BN$-pair of rank 2. The groups to be recognized are completions of these amalgams which satisfy the condition of being of local characteristic $p$ (a condition satisfied by the finite Lie-type groups defined in characteristic $p$). The results presented will find application in one of the ongoing revisions of the finite simple group classification.

Keywords

20D08
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 93 , Issue 2 , September 2006 , pp. 325 - 394
Copyright
2006 London Mathematical Society

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.)

Footnotes

This work was partially supported by a London Mathematical Society scheme 4 grant.