FoxDifferential.Completed.CoefficientRings

4 sections | 51 files | 437 declarations

This module develops Fox differentials and completed Fox coordinates for free, profinite, and pro-\(C\) group constructions.

AugmentationIdealPrimePower

7 files | 86 declarations | 49 Theorem | 17 Definition | 4 Abbreviation | 16 Instance
Fox Differential / Completed / Coefficient Rings / Prime-Power Augmentation Ideal.

CompletedGroupAlgebra

1 files | 22 declarations | 11 Theorem | 7 Definition | 4 Abbreviation
The index set for a completed group algebra over finite quotients belonging to a class \(C\).

CompletedGroupAlgebraModN

13 files | 121 declarations | 69 Theorem | 22 Definition | 11 Abbreviation | 19 Instance
Coefficient algebras, residue stages, and completed group-algebra maps are kept as the scalar layer for completed Fox calculus.

CompletedGroupAlgebraPrimePower

30 files | 208 declarations | 116 Theorem | 21 Definition | 11 Abbreviation | 60 Instance
Fox Differential / Completed / Coefficient Rings / Prime-Power Completed Group Algebra.