Products of three word maps on simple algebraic groups
type: Item
instance of: scholarly article
title: Products of three word maps on simple algebraic groups
zbMATH Open document ID: 1439.20060
published in: Archiv der Mathematik
publication date: 2019-02-12T00:00:00Z
review text: The main result that the authors obtain is the following Theorem. Let \(\mathcal{G}\) be a simple and simply connected group which is defined and split over an infinite field \(K\) and let \(G = \mathcal{G}(K)\). Further, let \(\tilde {w} : G^{k+l+m} \rightarrow G\) be the corresponding word map. Suppose \(\mathcal{G}\) is not a group of type \(B_2 \) or \(G_2\). Then \(G \backslash Z(G) \subset\operatorname{Im }{\tilde {w}}\). This improves a result of \textit{C. Y. Hui} et al. [Isr. J. Math. 210, 81--100 (2015; Zbl 1343.22006)].
reviewed by: Erich W. Ellers
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 20G07
Mathematics Subject Classification ID: 22E15
Mathematics Subject Classification ID: 20F10
zbMATH DE Number: 7021297
zbMATH Keywords: word maps
zbMATH Keywords: simple algebraic groups
author: E. A. Egorchenkova
author: N. L. Gordeev
MaRDI profile type: Publication
full work available at URL: s00013-018-1241-6
OpenAlex ID: W2889155657
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Wikidata QID: Q129313873
DOI: 10.1007/S00013-018-1241-6
description: scientific article; zbMATH DE number 7021297