Smallest posets with given cyclic automorphism group

For each <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> we determine the minimum number of points in a poset with cyclic automorphism group of order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>n</mml:mi> </mml:math> .

Authors

Publication Details

Journal
Algebraic Combinatorics
Published
2024-10-31
DOI
https://doi.org/10.5802/alco.372
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00

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article

Smallest posets with given cyclic automorphism group

Jonathan Ariel Barmak, Agustín Nicolás Barreto
Algebraic Combinatorics
Advanced Topics in Algebra
article

Smallest posets with given cyclic automorphism group

Jonathan Ariel Barmak, Agustín Nicolás Barreto
article en

Abstract

For each <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> we determine the minimum number of points in a poset with cyclic automorphism group of order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>n</mml:mi> </mml:math> .

Algebraic CombinatoricsVol. 7(5)
Consejo Nacional de Investigaciones Científicas y Técnicas, Agencia Nacional de Promoción Científica y Tecnológica, Secretaría de Ciencia y Técnica, Universidad de Buenos Aires
Openalex Percentile: Top 65%
Advanced Topics in Algebra
DOIOpen Access PDFOpenAlex
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Smallest posets with given cyclic automorphism group — Jonathan Ariel Barmak, Agustín Nicolás Barreto · Algebraic Combinatorics (2024) | TGRS Research Map | TGRS