English Explanatory Dictionary

Möbius group

English dictionary entry

Meanings

noun
  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.

Word forms

Möbius group Möbius groups Moebius group Mobius group

Etymology

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

Related words

Möbius strip Möbius transformation
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