ProCGroups.FiniteStepSolvableQuotients

3 sections | 9 files | 147 declarations

This module formalizes finite-step solvable quotients and their abelian actions.

AbelianActions

3 files | 60 declarations | 48 Theorem | 12 Definition
An action has no nontrivial fixed points if every globally fixed element is trivial.

Abelianization

1 files | 14 declarations | 10 Theorem | 4 Definition
This module develops finite quotient, subgroup, free pro-\(C\), generation, and cardinal-invariant constructions for profinite and pro-\(C\) groups.

Commutators

5 files | 73 declarations | 43 Theorem | 13 Lemma | 7 Definition | 7 Abbreviation | 3 Instance
The topological closure of the abstract commutator subgroup.