Rings of polynomial invariants of the alternating group have no finite SAGBI bases with respect to any admissible order

DOI10.1016/S0020-0190(00)00031-4zbMath1014.68228MaRDI QIDQ1607040

Manfred Göbel

Publication date: 25 July 2002

Published in: Information Processing Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (1)

Sagbi bases of Cox-Nagata rings

Cites Work

• A constructive description of SAGBI bases for polynomial invariants of permutation groups
• The ``smallest ring of polynomial invariants of a permutation group which has no finite SAGBI bases w. r. t. any admissible order
• Admissible orders and linear forms
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