Realising countable groups as automorphisms of origamis on the Loch Ness monster

DOI10.1007/S00013-023-01835-4arXiv2202.12669MaRDI QIDQ6392146

Publication date: 25 February 2022

Abstract: It is known that every finite group can be represented as the full group of automorphisms of a suitable compact origami. In this paper, we provide a short argument to note that the same holds for any countable group by considering origamis on the Loch Ness monster.

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Coverings of curves, fundamental group (14H30) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

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