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Girth in GF(q)-representable matroids.

To access the full text documents, please follow this link: https://hdl.handle.net/2445/227206

Author

Davies, James

Hatzel, Melke

Knauer, Kolja

McCarty, Rose

Ueckerdt, Torsten

Publication date

2026-02-23T11:13:01Z

2026-02-23T11:13:01Z

2025-07-28

2026-02-23T11:13:01Z



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Abstract

We prove a conjecture of Geelen, Gerards, and Whittle that for any finite field GF $(q)$ and any integer $t$, every cosimple GF ( $q$ )-representable matroid with sufficiently large girth contains either $M\left(K_t\right)$ or $M\left(K_t\right)^*$ as a minor.

Document Type

Article

Published version

Language

English

Subjects and keywords

Combinatòria (Matemàtica); Teoria de grafs; Combinations; Graph theory

Publisher

London Mathematical Society

Related items

Reproducció del document publicat a: https://doi.org/10.1112/blms.70159

Bulletin of the London Mathematical Society, 2025, vol. 57, num.11, p. 3401-3407

https://doi.org/10.1112/blms.70159

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DIDL MARC MARC_CCUC METS OAI_DC ORE QDC RDF

Rights

cc by-nc-nd (c) James Davies et al., 2025

http://creativecommons.org/licenses/by-nc-nd/4.0/

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ISGlobal - Institut de Salut Global de Barcelona [60730]

Matemàtiques i Informàtica [1007]