On 2-closed abelian permutation groups

Dmitry Churikov, Ilia Ponomarenko

Research output: Contribution to journalArticlepeer-review

Abstract

A permutation group (Formula presented.) is said to be 2-closed if no group H such that (Formula presented.) has the same orbits on (Formula presented.) as G. A simple and efficient inductive criterion for the 2-closedness is established for abelian permutation groups with cyclic transitive constituents.

Original languageEnglish
JournalCommunications in Algebra
Early online date22 Oct 2021
DOIs
Publication statusE-pub ahead of print - 22 Oct 2021

Keywords

  • 2-Closed groups
  • abelian groups
  • permutation groups

OECD FOS+WOS

  • 1.01 MATHEMATICS

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