The invariant rings of the Sylow groups of \(GU (3,q^{2})\), \(GU(4,q^{2})\), \(Sp(4,q)\) and \(O^{+}(4,q)\) in the natural characteristic

DOI10.1016/j.jsc.2016.02.013zbMath1365.13008OpenAlexW2304703944MaRDI QIDQ507146

Yong-Cai Geng, Sumit K. Garg

Publication date: 3 February 2017

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2016.02.013

zbMATH Keywords

Sylow subgroupsinvariant ringsfinite classical groupsmodular invariant theory\(SAGBI\) bases

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (1)

Modular invariants of finite gluing groups

Uses Software

• Magma

Cites Work

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• Modular invariant theory
• Polynomial invariants of finite unitary groups
• The Magma algebra system. I: The user language
• The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic
• Rational Invariants of certain Orthogonal and Unitary Groups

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