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The number of set-orbits of a solvable permutation group

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Publication:2111340
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DOI10.1515/jgth-2021-0066OpenAlexW4200326693MaRDI QIDQ2111340

Yinling Gao, Yong Yang

Publication date: 13 January 2023

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2021-0066



Mathematics Subject Classification ID

Group theory and generalizations (20-XX)


Related Items (1)

THE NUMBER OF SET ORBITS OF PERMUTATION GROUPS AND THE GROUP ORDER



Cites Work

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  • A polynomial bound for the orders of primitive solvable groups
  • Permutation groups without exponentially many orbits on the power set
  • A lower bound for the number of odd-degree representations of a finite group
  • Solvable and Nilpotent Subgroups of GL(n,qm)
  • Primitive Groups with no Regular Orbits on the Set of Subsets
  • On the Number ofp'-Degree Characters in a Finite Group
  • Trivial Set-Stabilizers in Finite Permutation Groups
  • Permutation groups and orbits on the power set
  • Solvable Permutation Groups and Orbits on Power Sets
  • Set-Transitive Permutation Groups
  • Irreducible representations of odd degree


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