## 2006.372: Local Characteristic p Completions of Weak BN-Pairs

2006.372:
Christopher Parker and Peter Rowley
(2006)
*Local Characteristic p Completions of Weak BN-Pairs.*
Proceedings of the London Mathematical Society, 93 (2).
pp. 325-394.
ISSN 0024-6115

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DOI: 10.1112/S0024611506015802

## 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.

Item Type: | Article |
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Subjects: | MSC 2000 > 20 Group theory and generalizations |

MIMS number: | 2006.372 |

Deposited By: | Miss Louise Stait |

Deposited On: | 21 September 2006 |

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