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cc by-nc-nd (c) James Davies et al., 2025
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/227206

Girth in GF(q)-representable matroids.

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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.

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DAVIES, James, et al. Girth in GF(q)-representable matroids. Bulletin of the London Mathematical Society. 2025. Vol. 57, num. 11, pags. 3401-3407. ISSN 0024-6093. [consulted: 13 of June of 2026]. Available at: https://hdl.handle.net/2445/227206

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