symmetry group
symmetry group noun: a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
Noun
symmetry group (plural symmetry groups)
- A group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
- [The] situation is more delicate in the case of higher dimensional symmetry groups; it is not in general possible to reduce the order of an equation invariant under an r-parameter symmetry group by r using only quadratures.1993, Peter J. Olver, Applications of Lie Groups to Differential Equations, published 2000, page 76
- It is often assumed that the design unit inside each fundamental region (particularly for monotranslational symmetry groups p111 and p1a1 and ditranslational symmetry groups p1 and pg) is asymmetric.2000, C. E. Horne, Geometric Symmetry in Patterns and Tilings, page 79
- Synonyms:
- full symmetry group
Synonyms of symmetry group
- full symmetry group
Forms of symmetry group
| plural | symmetry groups |
|---|
Words formed from symmetry group
- discrete symmetry group
- proper symmetry group
Questions about symmetry group
- What does symmetry group mean?
- Symmetry group means a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
- What part of speech is symmetry group?
- Symmetry group is a noun.
- What is the plural of symmetry group?
- The plural of symmetry group is symmetry groups.
Words near symmetry group in the dictionary
Source and license
Adapted from Wiktionary: symmetry 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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