The notation "GL(n, F)" refers to the general linear group of degree n over a field F. This group consists of all n x n invertible matrices with entries from the field F. The group operation is matrix multiplication, and the identity element is the n x n identity matrix. The concept of GL(n, F) is fundamental in linear algebra and has applications in various areas of mathematics, including geometry, algebra, and representation theory. The structure of this group helps in understanding linear transformations and their properties in vector spaces over the field F.