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On groups with root system of type

Authors :
Oueslati, H.
Source :
Journal of Algebra. Jan2008, Vol. 319 Issue 1, p187-204. 18p.
Publication Year :
2008

Abstract

Abstract: Let Φ be a root system of type , and let G be a group generated by non-trivial subgroups , , satisfying some generalized Steinberg relations, which are also satisfied by root subgroups corresponding to a Moufang hexagon. These relations can be considered as a generalization of the element-wise commutator relations in Chevalley groups. The Steinberg presentation specifies the groups satisfying the Chevalley commutator relations. In the present paper some sort of generalized Steinberg presentation for groups with root system of type is provided. As a main result we classify the possible structures for G. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00218693
Volume :
319
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
27694281
Full Text :
https://doi.org/10.1016/j.jalgebra.2007.10.003