The Width of Extraspecial Unipotent Radical with Respect to a Set of Root Elements
- Authors: Pevzner I.M.1
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Affiliations:
- Herzen State Pedagogical University of Russia
- Issue: Vol 219, No 4 (2016)
- Pages: 598-603
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238630
- DOI: https://doi.org/10.1007/s10958-016-3130-5
- ID: 238630
Cite item
Abstract
Let G = G(Φ,K) be a Chevalley group of type Φ over a field K, where Φ is a simply laced root system. By studying the extraspecial unipotent radical of G, it is proved that any its element is a product of at most three root elements. Moreover, it is shown that up to conjugation by an element of the Levi subgroup, any element of the radical is the product of six elementary root elements.
About the authors
I. M. Pevzner
Herzen State Pedagogical University of Russia
Author for correspondence.
Email: pevzner_igor@mail.ru
Russian Federation, St.Petersburg
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