Goto Chapter: Top 1 2 3 4 5 6 7 8 Bib Ind

### 8 Development History

#### 8.1 Versions of the Package

The first version, GraphGpd 1.001, formed part of Emma Moore's thesis [Moo01] in December 2000, but was not made generally available.

Version 1.002 of GraphGpd was prepared to run under GAP 4.4 in January 2004; was submitted to the GAP council to be considered as an accepted package; but suggestions from the referee were not followed up.

In April 2006 the manual was converted to GAPDoc format. Variables Star, Costar and CoveringGroup were found to conflict with usage in other packages, and were renamed VertexStar, VertexCostar and CoveringGroupOfGroupoid respectively. Similarly, the Vertices and Arcs of an FpWeightedDigraph were changed from attributes to record components.

In the spring of 2006 the package was extensively rewritten and renamed gpd. Version 1.01 was submitted as a deposited package in June 2006. Version 1.03, of October 2007, fixed some file protections, and introduced the test file gpd_manual.tst.

Version 1.05, of November 2008, was released when the website at Bangor changed.

Since then, the package has been rewritten again, introducing magmas with objects and their mappings. Functions to implement constructions contained in [AW10] have been added, but this is ongoing work.

Versions 1.09 to 1.15 were prepared for the anticipated release of GAP 4.5 in June 2012.

gpd became an accepted GAP package in May 2015.

In April 2017 the package was renamed again, as groupoids.

The latest version is 1.51 of 6th August 2017, for GAP 4.8.8 or 4.9.

In the current version there have been a number of changes of function name, such as IsDigraph becoming GroupoidIsDigraph. This is in order to avoid conflicts with the Digraphs package. The intention is that these functions can revert to the original names in due course.

#### 8.2 What needs to be done next?

The urgent requirement is for a new implementation of groupoid homomorphisms to eliminate the errors mention in section 5.4.

Computationally, there are three types of connected groupoid:

• those with identical object groups,

• those with object groups conjugate in some supergroup,

• those with object groups which are simply isomorphic.

GraphGpd attempted to implement the second case, while gpd 1.01 and 1.03 considered only the first case, and gpd 1.05 extended 1.03 to the second case.

The third case has not yet been considered for implementation, and there does not appear to be any need to do so.

Here are some other immediate requirements:

• more work on automorphism groups of groupoids;

• normal subgroupoids and quotient groupoids;

• more methods for morphisms of groupoids, particularly when the range is not connected;

• ImageElm and ImagesSource for the cases of groupoid morphisms not yet covered;

• Enumerator for IsHomsetCosetsRep;

• free groupoid on a graph;

• methods for FreeProductWithAmalgamation and HnnEntension for pc-groups;

• convert GraphOfGroupsRewritingSystem to the category IsRewritingSystem;

• in XMod, continue to work on crossed modules over groupoids.

Goto Chapter: Top 1 2 3 4 5 6 7 8 Bib Ind

generated by GAPDoc2HTML