subinvariantn.adj.

1882 J. J. Sylvester in Amer. Jrnl. Math. 5 79 Any rational integer function ϕ of the letters a, b, c, … indefinitely continued, which satisfies the partial differential equation (aδ_b + bδ_b + cδ_b…)ϕ = 0 may be termed as subinvariant in respect to the elements a, b, c …, or simply a subinvariant to or quâ those elements.

1906 Cent. Dict. Perpetuant, an absolutely indecomposable subinvariant.

2007 J. Riche in J.-Y. Béziau & A. Costa-Leite Perspectives Universal Logic iv. 16 His [sc. J. J. Sylvester's] memoir on subinvariants, a memoir in which he proposed his attempt at solving Gordan's theorem by number-theoretical means.

1951 Amer. Jrnl. Math. 73 453 A theory of subinvariant subgroups has been developed by Wielandt who proved by way of application of the theory that the tower of automorphisms of a finite group with no center ends finitely... A subalgebra of a Lie algebra L is said to be subinvariant in L if it is a member of a sequence of algebras ending with L, each an ideal in the following.

1958 H. J. Zassenhaus Theory of Groups (ed. 2) App. B. 193 An example will be constructed in which there are two subgroups of  both subinvariant in  but in which the subgroup generated by them is not subinvariant in .

2003 M. R. Adhikari & A. Adhikari Groups, Rings & Modules with Applic. (ed. 2) ii. 98 A subnormal (or sub invariant) series of subgroups of a group G is a finite sequence {H_i} of subgroups of G such that {1} = H₀ ⊆ H₁ ⊆ … ⊆ H_n = G and H_i is a normal subgroup of H_{i + 1} for each i = 0, 1, …, n − 1. In addition, if each H_i is a normal subgroup of G, then {H_i} is called a normal (or invariant) series of G.

1882 J. J. Sylvester in Amer. Jrnl. Math. 5 80 It must be capable of being satisfied by subinvariantive values of X₁Y₁.