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PreprintarXiv licencearXiv

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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Cite

BibTeXRIS
BibTeX
@misc{baumeister2026finite,
  title = {{Finite permutation groups that act with fixity 4}},
  author = {Barbara Baumeister and Paula Hähndel and Kay Magaard and Christoph Möller and Rebecca Waldecker},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.00733},
  eprint = {2609.00733},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00733},
}
RIS
TY  - UNPB
TI  - Finite permutation groups that act with fixity 4
AU  - Barbara Baumeister
AU  - Paula Hähndel
AU  - Kay Magaard
AU  - Christoph Möller
AU  - Rebecca Waldecker
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.00733
UR  - https://arxiv.org/abs/2609.00733
AB  - 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.
ER  -