plural of solvability

Capable of being solved. / (obsolete) Capable of being dissolved or liquefied. / (obsolete) Able to pay one's debts. / (obsolete, rare) Capable of being paid and discharged.

Capability of being solved. / The condition of being solvent; ability to pay debts; solvency.

The quality of being solvable.

(algebra, Galois theory) A group which has a chain of subgroups going from itself all the way down to the trivial subgroup, such that any subgroup in the chain is a normal subgroup of the one immediately above it in the chain, and such that the quotient of any subgroup by the normal subgroup immediately under it is a cyclic group.