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Möbius group

Möbius group noun: the projective general linear group mathbf PGL(2,ℂ): the group of Möbius transformations on the Riemann sphere.

Noun

Möbius group (plural Möbius groups)

  1. The projective general linear group mathbf PGL(2,ℂ): the group of Möbius transformations on the Riemann sphere.
  2. For a given dimension n, the group of projective transformations leaving a particular hypersphere invariant.

Forms of Möbius group

pluralMöbius groups
alternative formMoebius group
alternative formMobius group

Origin of Möbius group

Eponymous for August Ferdinand Möbius (1790–1868), a German mathematician and theoretical astronomer.

Questions about Möbius group

What does Möbius group mean?
Möbius group means the projective general linear group mathbf PGL(2,ℂ): the group of Möbius transformations on the Riemann sphere.
What part of speech is Möbius group?
Möbius group is a noun.
What is the plural of Möbius group?
The plural of Möbius group is Möbius groups.

Words near Möbius group in the dictionary

  1. Móstoles
  2. Möbius
  3. Möbius band
  4. Möbius bands
  5. Möbius function
  6. Möbius group
  7. Möbius groups
  8. Möbius loop
  9. Möbius loops
  10. Möbius scarf
  11. Möbius scarves

Source and license

Adapted from Wiktionary: Möbius group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “Möbius group.” Word.ws, https://word.ws/m%C3%B6bius_group. Based on Wiktionary, CC BY-SA 4.0.