Word.ws English Dictionary

orthogonal groups

orthogonal groups is the plural of orthogonal group.

Meaning of orthogonal group

Noun

orthogonal group (plural orthogonal groups)

  1. For given n and field F (especially where F is the real numbers), the group of n × n orthogonal matrices with elements in F, where the group operation is matrix multiplication.
    • The symbol O^ε(n,q) for orthogonal groups has been well established in finite group theory as and, throughout the mathematics community, O(n, K) stands for an orthogonal group when K is the real or complex field.1998, Robert L. Griess, Jr., Twelve Sporadic Groups, Springer, page 4

Questions about orthogonal groups

What is orthogonal groups the plural of?
Orthogonal groups is the plural of orthogonal group.

Words near orthogonal groups in the dictionary

  1. orthogonal complement
  2. orthogonal complements
  3. orthogonal function
  4. orthogonal functions
  5. orthogonal group
  6. orthogonal groups
  7. orthogonal matrix
  8. orthogonalisation
  9. orthogonalisations
  10. orthogonalise
  11. orthogonalised

Source and license

Adapted from Wiktionary: orthogonal groups (page history and authors); orthogonal 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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