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Soluble subgroups of symmetric and linear groups

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Publication:1086672
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DOI10.1007/BF02801992zbMath0609.20015OpenAlexW2067755343MaRDI QIDQ1086672

Avinoam Mann

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf02801992


zbMATH Keywords

upper triangular matricesiterated wreath productsymmetric and alternating groupsgeneral and special linear groupssolvable subgroups of maximal order


Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Special subgroups (Frattini, Fitting, etc.) (20D25) Subgroups of symmetric groups (20B35)


Related Items

Groups without faithful transitive permutation representations of small degree ⋮ Discrete Kakeya-type problems and small bases ⋮ The overgroups of the solvable subgroup of maximal order in \(S_ n\) ⋮ Maximal solvable subgroups of odd index in symmetric groups



Cites Work

  • Unnamed Item
  • On finite factorizable groups
  • Nilpotent injectors in alternating groups
  • On completely reducible solvable subgroups of GL(n,\(\Delta\) )
  • Nilpotent injectors in symmetric groups
  • Solvable and Nilpotent Subgroups of GL(n,qm)
  • The Fitting subgroup of a linear solvable group
  • Endliche Gruppen I
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