What does torsor mean?

Definitions for torsor
tor·sor

This dictionary definitions page includes all the possible meanings, example usage and translations of the word torsor.


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Wiktionary

  1. torsornoun

    A principal homogeneous space for a group, such that the stabilizer subgroup of any point is trivial.

Wikipedia

  1. torsor

    In mathematics, a principal homogeneous space, or torsor, for a group G is a homogeneous space X for G in which the stabilizer subgroup of every point is trivial. Equivalently, a principal homogeneous space for a group G is a non-empty set X on which G acts freely and transitively (meaning that, for any x, y in X, there exists a unique g in G such that x·g = y, where · denotes the (right) action of G on X). An analogous definition holds in other categories, where, for example, G is a topological group, X is a topological space and the action is continuous, G is a Lie group, X is a smooth manifold and the action is smooth, G is an algebraic group, X is an algebraic variety and the action is regular.

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Numerology

  1. Chaldean Numerology

    The numerical value of torsor in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of torsor in Pythagorean Numerology is: 6


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"torsor." Definitions.net. STANDS4 LLC, 2024. Web. 4 May 2024. <https://www.definitions.net/definition/torsor>.

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