Möbius group

English

Alternative forms

• Moebius group
• Mobius group

Etymology

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

Noun

Möbius group (plural Möbius groups)

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

Hypernyms

• Lie group

Meronyms

• Möbius transformation

Related terms

• Möbius strip
• Möbius transformation

Translations

PGL(2,C)

• Dutch: Möbius-groep m or f
• Spanish: grupo de Möbius m