#5370 ⟨a, b | aab=aa, bba=ab⟩

Up:Monoids with two generators and two relations
Prev:#5369 ⟨a, b | aab=aa, bba=aa⟩
Next:#5371 ⟨a, b | aab=aa, bba=ba⟩

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. ab ⇒ b2a
  2. b4a2 ⇒ a2 
# ab:aab=aa,bba=ab reversed:b/a
ab=bba
bbbbaa=aa

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
1116248⟨a, b | aab=ba, baab=bb⟩φ(a) = b, φ(b) = a