Fuchsian group

noun

Any discrete group of isometries of the hyperbolic plane.

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Meanings

nounFuchsian group (plural Fuchsian groups)

plural Fuchsian groups

  1. mathematicsAny discrete group of isometries of the hyperbolic plane.

Origin

First studied by Henri Poincaré (1882), who was motivated by the work of Lazarus Fuchs (1880) and therefore named them after him.

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Cite this entry
APA

Fuchsian group. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Fuchsian%20group

MLA

“Fuchsian group.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Fuchsian%20group. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Fuchsian group,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Fuchsian%20group.

Source: Fuchsian group on Wiktionary, CC BY-SA 4.0.