Word.ws English Dictionary

automorphism group

automorphism group noun: the group of automorphisms of a given set or other mathematical object, with the group operation being function composition.

Noun

automorphism group (plural automorphism groups)

  1. The group of automorphisms of a given set or other mathematical object, with the group operation being function composition.
    • The automorphism group of a set is the set's symmetric group.
    • The automorphism group of a finite-dimensional vector space (respectively, projective space) is the space's general linear group (respectively, projective linear group).

Examples of automorphism group in a sentence

  • Recently Droste, Holland and Macpherson in [DHM1], [DHM2] and [DHM3] investigated various questions concerning the automorphism groups of homogeneous #92;aleph#95;0-categorical trees.1993, Matatyahu Rubin, The Reconstruction of Trees from Their Automorphism Groups, American Mathematical Society, page 5:
  • Unlike the classical integration theory, the non-commutative theory comes with the intrinsic dynamics of the modular automorphism group.2002, Masamichi Takesaki, Theory of Operator Algebras II, Springer, page 91:

Synonyms of automorphism group

Forms of automorphism group

pluralautomorphism groups

Questions about automorphism group

What does automorphism group mean?
Automorphism group means the group of automorphisms of a given set or other mathematical object, with the group operation being function composition.
How do you use automorphism group in a sentence?
Recently Droste, Holland and Macpherson in [DHM1], [DHM2] and [DHM3] investigated various questions concerning the automorphism groups of homogeneous #92;aleph#95;0-categorical trees.
What part of speech is automorphism group?
Automorphism group is a noun.
What is the plural of automorphism group?
The plural of automorphism group is automorphism groups.

Words near automorphism group in the dictionary

  1. automorphic
  2. automorphic number
  3. automorphic numbers
  4. automorphically
  5. automorphism
  6. automorphism group
  7. automorphism groups
  8. automorphisms
  9. automorphogenesis
  10. automorphy
  11. automotive

Source and license

Adapted from Wiktionary: automorphism group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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