#3032 ⟨a, b | aa=a, babb=bb⟩

Up:Monoids with two generators and two relations
Prev:#3031 ⟨a, b | aa=a, babb=ba⟩
Next:#3034 ⟨a, b | aa=a, bbbb=ab⟩

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. bab2 ⇒ b2 
# ab:aa=a,babb=bb ab
aa=a
babb=bb

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
108898⟨a, b | aa=a, baabb=bb⟩φ(a) = a, φ(b) = b
1124694⟨a, b | aa=a, baaabb=bb⟩φ(a) = a, φ(b) = b