Email this article Reduction Theorems for Triples of Short Root Subgroups in Chevalley Groups
- Authors: Nesterov V.V.1
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Affiliations:
- Baltic state technical university “VOENMEH”
- Issue: Vol 222, No 4 (2017)
- Pages: 437-452
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239230
- DOI: https://doi.org/10.1007/s10958-017-3315-6
- ID: 239230
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Abstract
Reduction theorems for triples of short root unipotent subgroups in Chevalley groups of type Bℓ and Cℓ are proved. The main result asserts that except for one case, any subgroup generated by such a triple is conjugate to a subgroup of G(B4, K)U(B5, K) or G(C4, K)U(C5, K), respectively.
About the authors
V. V. Nesterov
Baltic state technical university “VOENMEH”
Author for correspondence.
Email: vl.nesterov@mail.ru
Russian Federation, St. Petersburg
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