#5407 ⟨a, b | aab=bb, aba=bb⟩

Up:Monoids with two generators and two relations
Prev:#5406 ⟨a, b | aab=bb, aba=ba⟩
Next:#5408 ⟨a, b | aab=bb, abb=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. a2b ⇒ b2
  2. aba ⇒ b2
  3. b2a ⇒ ab2
  4. bab2 ⇒ ab3 
# ab:aab=bb,aba=bb ab
aab=bb
aba=bb
bba=abb
babb=abbb

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
1116517⟨a, b | aab=bb, aba=aab⟩φ(a) = a, φ(b) = b