Solvable intransitive permutation groups with constant movement

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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Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2025-01-01
DOI
https://doi.org/10.22103/jmmr.2024.23569.1666
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Solvable intransitive permutation groups with constant movement

SHILAP Revista de lepidopterología
Finite Group Theory Research
article

Solvable intransitive permutation groups with constant movement

article en

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 $p=q(q-1)+1.$

SHILAP Revista de lepidopterología
Buein Zahra Technical University (IR), Iran University of Science and Technology (IR)
Reduced inequalities
Openalex Percentile: Top 46%
Finite Group Theory Research
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Solvable intransitive permutation groups with constant movement · SHILAP Revista de lepidopterología (2025) | TGRS Research Map | TGRS