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Transfer systems give matroids only for cyclic $p$-groups
[Submitted on 23 Jun 2026] · 2026-06-25 · via math updates on arXiv.org

Mathematics > Combinatorics

arXiv:2606.25180 (math)

[Submitted on 23 Jun 2026]

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Abstract:Transfer systems as studied in equivariant algebra admit minimal generating sets, analogous to bases in linear algebra. It is natural to wonder if minimal generating sets form a matroid. We show that this happens only for lattices which are linear orders, or for cyclic groups of prime power order. In this case, we compute some invariants of the resulting matroid.

Submission history

From: Yuri Sulyma [view email]
[v1] Tue, 23 Jun 2026 21:14:05 UTC (8 KB)

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