Cameron–Liebler sets in permutation groups

Consider a group G acting on a set ohm. A ( G, ohm)- Cameron-Liebler set is a subset of G , whose indicator function is a linear combination of the indicator functions of the cosets of the point stabilizers. We investigate Cameron-Liebler sets in permutation groups, with a focus on constructions of Cameron-Liebler sets for 2-transitive groups.

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Publication Details

Journal
Algebraic Combinatorics
Published
2024-09-03
DOI
https://doi.org/10.5802/alco.363
Citations
1
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
1.32

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article

Cameron–Liebler sets in permutation groups

Venkata Raghu Tej Pantangi, Karen Meagher, Jozefien D’haeseleer
1 citations
Algebraic Combinatorics
Finite Group Theory Research
1.32
article

Cameron–Liebler sets in permutation groups

Venkata Raghu Tej Pantangi, Karen Meagher, Jozefien D’haeseleer
article en
1 citations

Abstract

Consider a group G acting on a set ohm. A ( G, ohm)- Cameron-Liebler set is a subset of G , whose indicator function is a linear combination of the indicator functions of the cosets of the point stabilizers. We investigate Cameron-Liebler sets in permutation groups, with a focus on constructions of Cameron-Liebler sets for 2-transitive groups.

Algebraic CombinatoricsVol. 7(4)
University of Regina (CA), Ghent University (BE)
Fonds Wetenschappelijk Onderzoek, Vlaamse regering, Natural Sciences and Engineering Research Council of Canada
Openalex Percentile: Top 23%
Finite Group Theory Research
1.32
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