#5393 ⟨a, b | aab=ba, aba=bb⟩

Up:Monoids with two generators and two relations
Prev:#5392 ⟨a, b | aab=ba, aba=ba⟩
Next:#5394 ⟨a, b | aab=ba, 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. a6b ⇒ a5b
  2. ba ⇒ a2b
  3. b2 ⇒ a3b 
# ab:aab=ba,aba=bb reversed:a/b
aaaaaab=aaaaab
ba=aab
bb=aaab

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
1116216⟨a, b | aab=ba, aaab=bb⟩φ(a) = a, φ(b) = b