FenchelNielsenZomorrodian.Discrete.Singerman

6 sections | 6 files | 43 declarations

This module develops Fenchel--Nielsen--Zomorrodian presentation reductions, period relations, reindexings, and quotient maps.

CyclicProductIdentities

1 files | 13 declarations | 11 Theorem | 2 Definition
Definition of the conjugate range product used in the Singerman cyclic-product calculation.

CyclicQuotientActions

1 files | 10 declarations | 7 Theorem | 3 Definition
The cyclic quotient acts by the right-regular representation on the quotient index set.

CyclicSchreierKernel

1 files | 12 declarations | 6 Theorem | 6 Definition
Relator-quotient mutual map data for the cyclic Schreier kernel presentation.

FreeGroupWords

1 files | 7 declarations | 7 Theorem
A finite list indexed by \(\mathrm{Fin}(1+n)\) splits into its first entry and the remaining \(n\) entries.

KernelTransport

1 files | 1 declarations | 1 Definition
The Singerman transport periods family is the finite family of periods, products, or least common multiple data used in the period reduction in the Fenchel--Nielsen--Zomorrodian...

ReidemeisterSchreier

1 files | 0 declarations