Adding a Transformation to Imprimitive Transitive Groups

Let [Formula: see text] be a transitive group. We mainly prove that the group[Formula: see text]is primitive for a given special permutation[Formula: see text]and the semigroup[Formula: see text] is synchronizing for a given special transformation [Formula: see text].

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Publication Details

Journal
Algebra Colloquium
Published
2024-11-29
DOI
https://doi.org/10.1142/s100538672400052x
Primary Topic
semigroups and automata theory
Type
article
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article

Adding a Transformation to Imprimitive Transitive Groups

Wangwei Li, Xianhua Li
Algebra Colloquium
semigroups and automata theory
article

Adding a Transformation to Imprimitive Transitive Groups

Wangwei Li, Xianhua Li
article en

Abstract

Let [Formula: see text] be a transitive group. We mainly prove that the group[Formula: see text]is primitive for a given special permutation[Formula: see text]and the semigroup[Formula: see text] is synchronizing for a given special transformation [Formula: see text].

Algebra ColloquiumVol. 31(04)
Lingnan Normal University (CN), Soochow University (CN)
Reduced inequalities
Openalex Percentile: Top 74%
semigroups and automata theory
DOISourceOpenAlex
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Adding a Transformation to Imprimitive Transitive Groups — Wangwei Li, Xianhua Li · Algebra Colloquium (2024) | TGRS Research Map | TGRS