Solvable intransitive permutation groups with constant movement

Document Type : Research Paper

Authors

1 Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran

2 Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846, Iran

Abstract

In this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius group of order $pq$, where $p$ and $q$ are primes such that $p=q(q-1)+1.$

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References

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Journal of Mahani Mathematical Research
Volume 14, Issue 1 - Serial Number 31
January 2025
Pages 155-163

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History

  • Receive Date: 05 June 2024
  • Revise Date: 17 August 2024
  • Accept Date: 02 September 2024

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