Lie algebras and 3-transpositions

被引：5

作者：

Cuypers, H. ^{[2
]}

Horn, M. ^{[3
]}

in 't Panhuis, J. ^{[2
]}

Shpectorov, S. ^{[1
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham B31 1QB, W Midlands, England

[2] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands

[3] TU Braunschweig, Inst Computat Math, D-31806 Braunschweig, Germany

来源：

JOURNAL OF ALGEBRA | 2012年 / 368卷

基金：

英国工程与自然科学研究理事会;

关键词：

3-transposition groups; Lie algebras; LEMMA;

D O I：

10.1016/j.jalgebra.2012.06.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a construction of an algebra over the field of order 2 starting from a conjugacy class of 3-transpositions in a group. In particular, we determine which simple Lie algebras arise by this construction. Among other things, this construction yields a natural embedding of the sporadic simple group Fi(22) in the group E-2(6)(2). (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：21 / 39

页数：19

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