#14576 ⟨a, b | aaba=a, baabb=b⟩

Up:Monoids with two generators and two relations
Prev:#14567 ⟨a, b | aaba=a, abbbb=a⟩
Next:#14580 ⟨a, b | aaba=a, babab=b⟩

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. b2 ⇒ b
  2. a2ba ⇒ a
  3. ba2b ⇒ b 
# ab:aaba=a,baabb=b ab
bb=b
aaba=a
baab=b

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.

1 total

Σ#PresentationMapping
1114588⟨a, b | aaba=a, bbaab=b⟩φ(a) = a, φ(b) = b