A Hilton-Milner theorem for exterior algebras

Fuente: arXiv
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Autores principales: Bulavka, Denys, Gandini, Francesca, Woodroofe, Russ
Formato: Preprint
Publicado: 2024
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author Bulavka, Denys
Gandini, Francesca
Woodroofe, Russ
author_facet Bulavka, Denys
Gandini, Francesca
Woodroofe, Russ
contents Recent work of Scott and Wilmer and of Woodroofe extends the Erdős-Ko-Rado theorem from set systems to subspaces of k-forms in an exterior algebra. We prove an extension of the Hilton-Milner theorem to the exterior algebra setting, answering in a strong way a question asked by these authors.
format Preprint
id arxiv_https___arxiv_org_abs_2406_17857
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Hilton-Milner theorem for exterior algebras
Bulavka, Denys
Gandini, Francesca
Woodroofe, Russ
Combinatorics
Algebraic Geometry
05D05 (Primary) 05E14, 15A75 (Secondary)
Recent work of Scott and Wilmer and of Woodroofe extends the Erdős-Ko-Rado theorem from set systems to subspaces of k-forms in an exterior algebra. We prove an extension of the Hilton-Milner theorem to the exterior algebra setting, answering in a strong way a question asked by these authors.
title A Hilton-Milner theorem for exterior algebras
topic Combinatorics
Algebraic Geometry
05D05 (Primary) 05E14, 15A75 (Secondary)
url https://arxiv.org/abs/2406.17857