Phrase guide

special linear group

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 1

For given field F and order n, the group of n×n matrices with determinant 1, with the group operations of matrix multiplication and matrix inversion.

Definition source: English Wiktionary via Wiktextract

Topics: group-theory, mathematics, sciences

Examples

  • 1998, F. Celler, C. R. Leedham-Green, A constructive recognition algorithm for the special linear group, Robert Curtis, Robert Wilson (editors), The Atlas of Finite Groups: Ten Years On, Cambridge University Press, 2003 Digitally Printed Edition, page 11, In the first part of this note we present an algorithm to recognise constructively the special linear group.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

1 source translations are retained for this English entry.

  • Polish: specjalna grupa liniowa — group of n×n invertible matrices with determinant 1