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On groups with root system of type
- 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]
- Subjects :
- *ALGEBRA
*MATHEMATICS
*MATHEMATICAL analysis
*MOUFANG loops
Subjects
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