#19559 ⟨a, b | aab=b, abbab=bb⟩

Up:Monoids with two generators and two relations
Prev:#19558 ⟨a, b | aab=b, abbab=ba⟩
Next:#19560 ⟨a, b | aab=b, abbba=aa⟩

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. b6 ⇒ b3
  2. bab2 ⇒ ab4
  3. b2ab ⇒ ab2
  4. a2b ⇒ b 
# ab:aab=b,abbab=bb b/a
bbbbbb=bbb
babb=abbbb
bbab=abb
aab=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
1120155⟨a, b | aab=b, bbab=abb⟩φ(a) = a, φ(b) = b