Set-stabilizers in solvable permutation groups

Abstract Let 𝐺 be a finite solvable permutation group. Then, modulo a possibly trivial normal elementary abelian 3-subgroup, some set-stabilizer in 𝐺 is a 2-group.

Authors

David Gluck (ORCID: https://orcid.org/0000-0001-6084-9258)

Institutions

Wayne State University (US)

Publication Details

Journal: Journal of Group Theory
Published: 2025-06-30
DOI: https://doi.org/10.1515/jgth-2025-0002
Citations: 1
Primary Topic: Finite Group Theory Research
Type: article
Field-Weighted Citation Impact: 5.33

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article

Set-stabilizers in solvable permutation groups

David Gluck

Jun 30, 2025

1 citations

Journal of Group Theory

Finite Group Theory Research

5.33

article

Set-stabilizers in solvable permutation groups

David Gluck

June 30, 2025article en

1 citations

Abstract

Abstract Let 𝐺 be a finite solvable permutation group. Then, modulo a possibly trivial normal elementary abelian 3-subgroup, some set-stabilizer in 𝐺 is a 2-group.

Journal of Group Theory

Wayne State University (US)

Openalex Percentile: Top 6%

Finite Group Theory Research

5.33

DOI Source OpenAlex

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Set-stabilizers in solvable permutation groups — David Gluck · Journal of Group Theory (2025) | TGRS Research Map | TGRS