Last Updated :2025/11/20

Möbius group

Noun
Japanese Meaning
リーマン球面上のメビウス変換全体からなる群、すなわち射影一般線型群 PGL(2,ℂ) と同型な群
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射影一般線形群 PGL(2,ℂ) はリーマン球上の互いに異なる点の順序付き三つ組に推移的に作用し、分数線形変換群としての役割を反映している。

plural

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

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Möbius group

The Möbius group acts transitively on ordered triples of distinct points of the Riemann sphere, reflecting its identification with the projective general linear group PGL(2,ℂ).

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The Möbius group acts transitively on ordered triples of distinct points of the Riemann sphere, reflecting its identification with the projective general linear group PGL(2,ℂ).

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