This page contains some collections of generators of finite transformation semigroups. These generators are stored in gzipped text files and they can be read into GAP using the function ReadCitrus in the GAP package Citrus.
Some pictures and further explanation of how the below files were created can be found by following the links below:
- Monoids of endomorphisms of non-abelian groups with at most 64 elements
- Munn semigroups of semilattices with at most 7 elements (299)
- Munn semigroups of semilattices with 8 elements (1078)
- Monoids of endomorphisms of connected graphs with 3 vertices (2)
- Monoids of endomorphisms of connected graphs with 4 vertices (6)
- Monoids of endomorphisms of connected graphs with 5 vertices (21)
- Monoids of endomorphisms of connected graphs with 6 vertices (112)
- Monoids of endomorphisms of connected graphs with 7 vertices (853)
- Monoids of endomorphisms of paths
Endomorphisms of groups
- Non-abelian groups with at most 64 elements: non_abelian.citrus.gz.
Munn semigroups
- Munn semigroups of semilattices with 2 to 8 elements: munn.citrus.gz.
Endomorphism monoids of graphs
- connected graphs with 3 vertices: graph3c.citrus.gz.
- connected graphs with 4 vertices: graph4c.citrus.gz.
- connected graphs with 5 vertices: graph5c.citrus.gz.
- connected graphs with 6 vertices: graph6c.citrus.gz.
- connected graphs with 7 vertices: graph7c.citrus.gz.
- connected graphs with 8 vertices: graph8c.citrus.gz.
- connected graphs with 9 vertices: graph9c.citrus.gz (21.2 MB).
- paths with 2 to 19 vertices: path.citrus.gz.