#19737 ⟨a, b | aba=b, abaab=bb⟩

Up:Monoids with two generators and two relations
Prev:#19733 ⟨a, b | aba=b, aabbb=bb⟩
Next:#19755 ⟨a, b | aba=b, abbbb=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. aba ⇒ b
  2. ab2 ⇒ b2
  3. bab ⇒ b2
  4. b2a ⇒ b2 
# ab:aba=b,abaab=bb ab
aba=b
abb=bb
bab=bb
bba=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.

1 total

Σ#PresentationMapping
1120283⟨a, b | aba=b, abab=bab⟩φ(a) = a, φ(b) = b