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Orbit sizes and the central product group of order 16

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Publication:2159767
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DOI10.1007/s10231-021-01185-4OpenAlexW4205593982MaRDI QIDQ2159767

Audriana L. Pohlman, Thomas Michael Keller

Publication date: 2 August 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-021-01185-4


zbMATH Keywords

dihedral groupfinite groupcommutator subgrouporbit structurecentral productabelian quotient


Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)


Related Items (1)

Linear group actions with at most three orbits of the largest size



Cites Work

  • Unnamed Item
  • Abelian quotients and orbit sizes of solvable linear groups
  • On Brauer's \(k(B)\)-problem
  • Bases of primitive linear groups.
  • Finite group elements where no irreducible character vanishes
  • Large linear groups of nilpotence class two
  • Abelian quotients and orbit sizes of linear groups
  • Large orbit sizes in finite group actions
  • Orbit sizes and the dihedral group of order eight
  • Unsolved Problems in Group Theory. The Kourovka Notebook
  • Commutators and the Commutator Subgroup
  • On Abelian Quotients of Primitive Groups
  • Endliche Gruppen I


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