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Subgroup vs Torsor - What's the difference?

subgroup | torsor |

As nouns the difference between subgroup and torsor

is that subgroup is a group within a larger group; a group whose members are some, but not all, of the members of a larger group while torsor is (mathematics) a principal homogeneous space for a group, such that the stabilizer subgroup of any point is trivial.

As a verb subgroup

is to divide or classify into subgroups.

subgroup

English

Noun

(en noun)
  • A group within a larger group; a group whose members are some, but not all, of the members of a larger group.
  • (group theory) A subset H'' of a group ''G'' that is itself a group and has the same binary operation as ''G .

    • Synonyms

    * (group within a group) subset

    Derived terms

    * Cartan subgroup * Fitting subgroup * normal subgroup * proper subgroup * trivial subgroup * stable subgroup

    Verb

    (en verb)
  • To divide or classify into subgroups

    • torsor

    English

    Noun

    (en noun) (wikipedia torsor)
  • (mathematics) A principal homogeneous space for a group, such that the stabilizer subgroup of any point is trivial.

    • Anagrams

    *