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arXiv · 2402.14024

Patterns in trees and quantum automorphism groups

Lucas Alger·Julie Capron·Félix de la Salle
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Abstract

We prove that given a fixed finite tree $P$, almost all trees contain $P$ as a subtree. Moreover, the inclusion can be made so that it induces an embedding of the corresponding (quantum) automorphism groups, thereby providing generic properties of the latter.

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Lucas Alger, Julie Capron, Félix de la Salle. 2024-02-07. Patterns in trees and quantum automorphism groups. https://doi.org/10.1007/s00013-026-02260-z

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