Failure of F-purity and F-regularity in certain rings of invariants

zbMath0915.13004arXivmath/0209238MaRDI QIDQ1129758

Anurag K. Singh

Publication date: 8 November 1998

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209238

zbMATH Keywords

symplectic grouprings of invariantscharacteristic \(p\)alternating group\(F\)-purity\(F\)-regularity

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Gröbner bases of Hilbert ideals of alternating groups, Galois extensions, plus closure, and maps on local cohomology, On alternating invariants and Hilbert ideals, Classification of the linearly reductive finite subgroup schemes of \(\mathrm{SL}_2\), \(F\)-rationality of the ring of modular invariants