Möbius group

For a given dimension n, the group of projective transformations leaving a particular hypersphere invariant.
See Also: Möbius strip, Möbius transformation

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  • Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

  • Möbius strip — noun /ˈməʊ.biː.əs stɹɪp/ a) A one sided surface formed by identifying two opposite edges of a square in opposite senses. b) A narrow strip given a half twist and joined at the ends, forming a three dimensional embedding of the above. Syn: Möbius… …   Wiktionary

  • Möbius–Kantor graph — Named after August Ferdinand Möbius and S. Kantor Vertices 16 …   Wikipedia

  • Möbius aromaticity — In organic chemistry, Möbius aromaticity is a special type of aromaticity believed to exist in a number of organic molecules. In terms of MO theory these compounds have in common a monocyclic array of molecular orbitals in which there is an odd… …   Wikipedia

  • Möbius Dick (Futurama) — Möbius Dick Futurama episode The crew hunts a four dimensional space whale …   Wikipedia

  • Mobius Artists Group — The Mobius Artists Group is an interdisciplinary group of artists, founded in 1977 by Marilyn Arsem in Boston, Massachusetts as Mobius Theater. It is known for incorporating a wide range of visual, performing and media arts into live performance …   Wikipedia

  • Möbius strip — This article is about the mathematical object. For musical group, see Mobius Band (band). A Möbius strip made with a piece of paper and tape. If an ant were to crawl along the length of this strip, it would return to its starting point having… …   Wikipedia

  • Möbius inversion formula — In mathematics, the classic Möbius inversion formula was introduced into number theory during the 19th century by August Ferdinand Möbius. Other Möbius inversion formulas are obtained when different local finite partially ordered sets replace the …   Wikipedia

  • Mobius Motors — Das Emblem der Automobilmarke Mobius ist im Design sehr eng am dem des einstigen Renault Diamanten wie auch des späteren Relief Logos angelehnt. Das Unternehmen Mobius Motors ist ein in Mombasa, Kenia ansässiger Automobilhersteller. Das… …   Deutsch Wikipedia

  • Mobius Band (music group) — This article is about the music group, see Möbius strip for the surface with only one side and only one boundary component. Mobius Band is an electronic rock trio from Brooklyn, New York consisting of drummer Noam Schatz, bassist, singer and… …   Wikipedia

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