ProCGroups.FiniteGeneration
This module develops finite quotient, subgroup, free pro-\(C\), generation, and cardinal-invariant constructions for profinite and pro-\(C\) groups.
Basic
Finitely generated as a topological group.
CharacteristicChainsAndIndices
A countable descending chain of open characteristic subgroups. This packages the standard bounded-index characteristic-chain data.