Meaning of linear group | Babel Free

Definitions

Any group that is isomorphic to a matrix group.

Examples

“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).”

“2007, Peter Schmid, The Solution of the k(GV) Problem, Imperial College Press⟳, page vii, 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.”

“The standard examples are linear groups such as the orthogonal and unitary groups, or the additive groups of p-adic integers, and this confirms that the concept of a compact group is natural.”

CEFR level