The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic

DOI10.1080/00927872.2014.999922zbMath1401.13019arXiv1409.5660OpenAlexW1869156402MaRDI QIDQ2810523

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Publication date: 1 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5660

zbMATH Keywords

finite classical groupsmodular invariant theoryinvariant fieldsSylow groups

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50)

Related Items (1)

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

Cites Work

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• Modular invariant theory
• Polynomial invariants of finite unitary groups
• Fixed fields of triangular matrix groups
• Homomorphisms, localizations and a new algorithm to construct invariant rings of finite groups
• Calculating invariant rings of finite groups over arbitrary fields
• Rational Invariants of certain Orthogonal and Unitary Groups
• Invariants of Certain Groups I
• An algorithm for computing the integral closure

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