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arXiv · 2609.00733

Finite permutation groups that act with fixity 4

Barbara Baumeister·Paula Hähndel·Kay Magaard·Christoph Möller·Rebecca Waldecker
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Abstract

Motivated by the theory of Riemann surfaces and specifically the significance of Weierstrass points, we prove general structure results about finite groups that have a faithful transitive action with fixity 4. We also explain examples for many different possibilities of such actions.

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Barbara Baumeister, Paula Hähndel, Kay Magaard, Christoph Möller, Rebecca Waldecker. 2026-09-01. Finite permutation groups that act with fixity 4. https://arxiv.org/abs/2609.00733

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