Computing modular invariants of \(p\)-groups.

DOI10.1006/jsco.2002.0558zbMath1048.13002OpenAlexW2064146303MaRDI QIDQ1864890

R. James Shank, David L. Wehlau

Publication date: 23 March 2003

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

Full work available at URL: https://doi.org/10.1006/jsco.2002.0558

zbMATH Keywords

characteristic \(p\)SAGBI basismodular invariantsminimal system of generatorsfinite unipotent groupvector invariantsladder algorithm

Mathematics Subject Classification ID

Modular representations and characters (20C20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50)

Related Items

On modular invariants of a vector and a covector, Moderately ramified actions in positive characteristic, Two-dimensional vector invariant rings of Abelian \(p\)-groups., The second main theorem vector for the modular regular representation of \(C_2\), The invariants of the third symmetric power representation of \(\mathrm{SL}_2(\mathbb F_p)\), Modular invariants of finite affine linear groups, ON SOME STANDARD GRADED ALGEBRAS IN MODULAR INVARIANT THEORY, Rings of invariants for modular representations of the Klein four group, Vector invariants for the two-dimensional modular representation of a cyclic group of prime order, Invariants of the diagonal \(C_{p}\)-action on \(V_{3}\), Vector invariants for two-dimensional orthogonal groups over finite fields, Depth and detection in modular invariant theory, On the coinvariants of modular representations of cyclic groups of prime order, The structure of modular generalized invariants

Uses Software

• Magma

Cites Work

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