Möbius group

• Moebius group
• Mobius group

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

Möbius group (plural Möbius groups)

1. (group theory) The projective general linear group ${\displaystyle \mathbf {PGL} (2,\mathbb {C} )}$: 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.

• Lie group

• Möbius transformation

• Möbius strip
• Möbius transformation