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SL2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {SL}}_2$$\end{document}-factorizations for groups of Lie type
被引：0
作者：
Andrei Smolensky
[1
]
机构：
[1] Neapolis University Pafos,Department of Computer Science
关键词：
-factorization;
Chevalley groups;
Subsystem subgroups;
20G35;
20G41;
20H20;
20D06;
15A23;
D O I：
10.1007/s40879-024-00785-7
中图分类号：
学科分类号：
摘要：
It is shown that the Chevalley group of type Φ\documentclass[12pt]{minimal}
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\begin{document}$$\Phi $$\end{document} over a Hermitian domain can be presented as a product of |Φ|-rkΦ\documentclass[12pt]{minimal}
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\begin{document}$$|\Phi |-{{\,\textrm{rk}\,}}\Phi $$\end{document} subgroups of type A1\documentclass[12pt]{minimal}
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\begin{document}$$\textsf{A}_1$$\end{document}. The known SL2\documentclass[12pt]{minimal}
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\begin{document}$${\text {SL}}_2$$\end{document}-factorizations for twisted groups and large Ree groups are made shorter, explicit and extended from finite fields to a wider class.
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