Products of involutions in the groups of Lie type F4(K)

Authors
Austin, PC
Citation
Pc. Austin, Products of involutions in the groups of Lie type F4(K), COMM ALGEB, 27(2), 1999, pp. 557-575
Citations number
16
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
27
Issue
2
Year of publication
1999
Pages
557 - 575
Database
ISI
SICI code
0092-7872(1999)27:2<557:POIITG>2.0.ZU;2-G
Abstract
The group of Lie type F-4(K) is shown to be 4-reflectional if \K\ greater t han or equal to 25. Then the subgroup N is proved to be 3-reflectional and an algorithm is given for writing any element in N as a product of involuti ons.