Invariants of linear groups generated by matrices with two nonunit eigenvalues

DOI10.1007/BF01410744zbMath0548.20030MaRDI QIDQ799809

Nikolai Gordeev

Publication date: 1984

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

zbMATH Keywords

invariantscomplete intersectionfinite subgroup of linear groupirreducible primitive groupsubgroup generated by pseudoreflections

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Regular local rings (13H05)

Related Items

On the branch locus of quotients by finite groups and the depth of the algebra of invariants, Linear groups

Cites Work

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• Certain invariant subrings are Gorenstein. II
• Linear groups containing an element with an eigenspace of codimension two
• Invariant theory
• Linear groups of degree n containing an involution with two eigenvalues - 1. II
• Invariants of finite groups and their applications to combinatorics
• Linear groups of degreencontaining an element with exactly n–2 equal eigenvalues
• Finite Unitary Reflection Groups