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A normal subgroup of a strongly reductive subgroup is strongly reductive

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Publication:1400189
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DOI10.1016/S0021-8693(03)00293-XzbMath1032.20030MaRDI QIDQ1400189

Benjamin M. S. Martin

Publication date: 13 August 2003

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


zbMATH Keywords

reductive algebraic groupsstrongly reductive subgroups


Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07)


Related Items (7)

On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function. ⋮ Complete reducibility and commuting subgroups ⋮ Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras. ⋮ A geometric approach to complete reducibility. ⋮ Complete reducibility and separability ⋮ Closed orbits and uniform $S$-instability in geometric invariant theory ⋮ Orbit closures and invariants



Cites Work

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  • Instability in invariant theory
  • Conjugacy classes of n-tuples in Lie algebras and algebraic groups
  • Reductive subgroups of reductive groups in nonzero characteristic.


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