Möbius group

noun — 2 senses

Möbius group

noun

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

1

Group theory, Mathematics, Sciences The projective general linear group mathbf PGL(2,ℂ): the group of Möbius transformations on the Riemann sphere.

2

Group theory, Mathematics, Sciences For a given dimension n, the group of projective transformations leaving a particular hypersphere invariant.

Related terms
Möbius strip, Möbius transformation
Hypernyms
Lie group
Meronyms
Möbius transformation

Entry derived from the Wiktionary, under licence CC BY-SA 4.0 — list of authors.