# Bounded-solvable IAPS

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This term is related to: APS theory

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*This article defines a property that can be evaluated for an IAPS of groups*

ANALOGY: This is an analogue in IAPS of a property encountered in group. Specifically, it is a IAPS property analogous to the group property: solvable group

View other analogues of solvable group | View other analogues in IAPSs of group properties (OR, View as a tabulated list)

BEWARE!This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

## Definition

An IAPS of groups is termed a **bounded-solvable IAPS** if it satisfies the following equivalent conditions:

- Every member is a solvable group, and there is a common finite bound on the solvable lengths of all the members
- The derived sub-IAPS series terminates, in finitely many steps, at the identity.