#5167 ⟨a, b | aab=ba, abaa=b⟩

Up:Monoids with two generators and two relations
Prev:#5158 ⟨a, b | aab=ba, aaaa=a⟩
Next:#5172 ⟨a, b | aab=ba, abbb=a⟩

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. ba5 ⇒ b
  2. ab ⇒ ba3 
# ab:aab=ba,abaa=b a/b
baaaaa=b
ab=baaa

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
1115678⟨a, b | aab=ba, aaaba=b⟩φ(a) = a, φ(b) = b