general linear groups
general linear groups is the plural of general linear group.
Meaning of general linear group
Noun
general linear group (plural general linear groups)
- For given field F and order n, the group of invertible n×n matrices, with the group operation of matrix multiplication.
- Often Lie groups arise as subgroups of certain larger Lie groups; for example, the orthogonal groups are subgroups of the general linear groups of all invertible matrices.1993, Peter J. Olver, Applications of Lie Groups to Differential Equations, Springer, 2000, Softcover Reprint, page 17
Questions about general linear groups
- What is general linear groups the plural of?
- General linear groups is the plural of general linear group.
Words near general linear groups in the dictionary
Source and license
Adapted from Wiktionary: general linear groups (page history and authors); general linear 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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Cite this entry: “general linear groups.” Word.ws, https://word.ws/general_linear_groups. Based on Wiktionary, CC BY-SA 4.0.
