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2 results on '"Algebraic geometry"'

1. Pairs of Short Root Subgroups in the Chevalley Group of Type G2.

Author

Nesterov, V. V.

Subjects
*CHEVALLEY groups, *LINEAR algebraic groups, *ALGEBRAIC geometry, *GROUP theory, *ALGEBRA, *MATHEMATICS
Abstract

The paper is devoted to a description of the pairs of unipotent short root subgroups in the Chevalley group of type G2 over a field of characteristic different from 2. Namely, the subgroups generated by a pair of short root subgroups are described, and the orbits of the Chevalley group, which acts by simultaneous conjugation on such pairs, are classified. Most of the calculations are valid for fields of characteristic 2. Bibliography: 14 titles. [ABSTRACT FROM AUTHOR]

Published
2004
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2. The Arrangement of Long and Short Root Subgroups in a Chevalley Group of Type G2.

Author

Nesterov, V. V.

Subjects
*CHEVALLEY groups, *LINEAR algebraic groups, *ALGEBRAIC geometry, *GROUP theory, *MATHEMATICS, *SCIENCE
Abstract

The subgroups generated by a long and a short root subgroup in a Chevalley group of type G2 are described, and the orbits of the group acting on such pairs by simultaneous conjugation are classified. Bibliography: 18 titles. [ABSTRACT FROM AUTHOR]

Published
2003
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