linear group

C51331
concept

A linear group is a group of invertible matrices (or, equivalently, a group of linear transformations) over a field, closed under matrix multiplication and inversion.

All labels observed (2)

Label Occurrences
linear group canonical 4
special linear group 1

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction
generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: linear group
Generated description
A linear group is a group of invertible matrices (or, equivalently, a group of linear transformations) over a field, closed under matrix multiplication and inversion.

Instances (4)

Instance Via concept surface
SL(2,ℤ)
PSL(2,ℝ)
SL(2,7) special linear group
PGL(2,7)