#7199 ⟨a, b | bb=aa, aba=aab⟩

Up:Monoids with two generators and two relations
Prev:#7198 ⟨a, b | bb=aa, aba=aaa⟩
Next:#7200 ⟨a, b | bb=aa, abb=aaa⟩

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. b2 ⇒ a2
  2. aba ⇒ a2b
  3. ba2 ⇒ a2b 
# ab:bb=aa,aba=aab ab
bb=aa
aba=aab
baa=aab

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
107205⟨a, b | bb=aa, bab=aaa⟩φ(a) = b, φ(b) = a