#8904 ⟨a, b | aa=a, babbb=ba⟩

Up:Monoids with two generators and two relations
Prev:#8903 ⟨a, b | aa=a, babbb=ab⟩
Next:#8905 ⟨a, b | aa=a, babbb=bb⟩

Properties

Complete rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
  1. a2 ⇒ a
  2. bab3 ⇒ ba 
# ab:aa=a,babbb=ba ab
aa=a
babbb=ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

2 total

Σ#PresentationMapping
1124701⟨a, b | aa=a, baabbb=ba⟩φ(a) = a, φ(b) = b
1125244⟨a, b | aa=a, babbb=baa⟩φ(a) = a, φ(b) = b