linear group

Noun

linear group (plural linear groups)

1. Any group that is isomorphic to a matrix group.
   • In this section we shall describe the linear groups and in the next two sections we deal with the symplectic and orthogonal groups, collectively usually known under the name of classical groups since the time of Hermann Weyl (1939).2003, Paul M. Cohn, Further Algebra and Applications, Springer, page 116
   • So finite groups often appear as subgroups of permutation groups or linear groups. The “geometry” of a group (as permutation group or linear group, or as a group of Lie type etc.) should be used in order to describe basic invariants.2007, Peter Schmid, The Solution of the k(GV) Problem, Imperial College Press, page vii