等質系について(III)

The investigation of various properties of homogeneous systems in [2], [3], [4] is continued to this paper. The notions of normal subsystems and quoticnt homogeneous systems are introduced in §1 . In §2, analytic homomorphisms of analytic homogeneous systems are treated. It is shown that the tangent Lie triple algebra of a closed normal subsystem of a geodesic homogreneous system G is an ideal of the tangent Lie triple algebra of G (Theorem 3).