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Automorphisms of soluble groups

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Publication:2809273
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DOI10.1112/plms/pdw005zbMath1359.20018OpenAlexW2315139574MaRDI QIDQ2809273

Flavell, Paul

Publication date: 27 May 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://pure-oai.bham.ac.uk/ws/files/31752705/root.pdf

zbMATH Keywords

semidirect productirreducible modulecoprime actionprimitive moduleHall-Higman theory


Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Automorphisms of abstract finite groups (20D45) Automorphism groups of groups (20F28)


Related Items

Coprime actions with supersolvable fixed-point groups, Automorphisms of \(K\)-groups. I.



Cites Work

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  • A Hall-Higman type theorem for cyclic groups
  • On the Hall-Higman and Shult theorems. II
  • Hall-Higman type theorems. VI
  • Fixed point free action with some regular orbits
  • Action of a Frobenius-like group.
  • A Hall-Higman-Shult type theorem for arbitrary finite groups.
  • On groups admitting fixed point free abelian operator groups
  • On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
  • Correspondences of Characters for Relatively Prime Operator Groups
  • Endliche Gruppen I
  • Automorphisms of solvable groups
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