ProCGroups.CompletedGroupAlgebra.Basic

3 sections | 15 files | 137 declarations

This aggregate exports both opaque completed-group-algebra carriers, their finite-stage systems, bundled projections and topological structures, and the canonical comparison equivalence between the all-finite and \(C\)-indexed models.

imports
Imported by

AllFinite

7 files | 58 declarations | 25 Theorems | 18 Definitions | 3 Abbreviations | 12 Instances
This module defines the all-finite completed group algebra as a named inverse-limit carrier. Its compatible-family realization is available only through the explicit equivalence...

ClassComparison

1 file | 31 declarations | 21 Theorems | 10 Definitions
This module compares the all-finite and \(C\)-indexed named completed carriers through their canonical projections, and bundles the resulting inverse maps as ring, algebra, and ...

InClass

7 files | 48 declarations | 24 Theorems | 12 Definitions | 3 Abbreviations | 9 Instances
This module defines the reverse-ordered open normal subgroups whose quotients lie in a finite-group class \(C\), together with their finite quotient groups and canonical quotien...