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Bounds on orders of finite subgroups of \(\text{PGL}_n(K)\)

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Publication:1276994
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DOI10.1006/jabr.1998.7551zbMath0919.20029OpenAlexW2047582903MaRDI QIDQ1276994

Eli Aljadeff, Jack Sonn

Publication date: 30 June 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7551


zbMATH Keywords

finite subgroupsorder boundsprojective general linear groups


Mathematics Subject Classification ID

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


Related Items

Finite subgroups of arithmetic lattices in \(U (2,1)\) ⋮ Uniform boundedness of torsion subgroups of linear groups. ⋮ Small bound for birational automorphism groups of algebraic varieties (with an appendix by Yujiro Kawamata) ⋮ Finiteness for crystalline representations of the absolute Galois group of a totally real field



Cites Work

  • Unnamed Item
  • Generic splitting fields of central simple algebras
  • On the projective Schur group of a field
  • An analogue of Jordan's theorem in characteristic \(p\)
  • On the Order and Degree of Solutions to Pure Equations
  • The maximal orders of finite subgroups in $GL_{n}(\mathbf {Q})$
  • Maximal Abelian Subgroups of the Symmetric Groups
  • On finite linear groups
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