special linear group
Word Rarity
Uncommon
Frequency: Zipf frequency 4.08 in modern English
25
Scrabble Score
18
Letters
5
Syllables
12
Unique Chars
Meaning
noun
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.
Example Sentences
- "The complex special linear group SL(n, C) is the subgroup of GL(n, C) consisting of matrices with determinant one.[…]The special linear groups are sometimes also called unimodular groups."
- "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."
- "Hence, all congruent bases induced from a game context belong to the special linear group SL(m)."