#5376 ⟨a, b | aab=ab, aba=bb⟩

Up:Monoids with two generators and two relations
Prev:#5375 ⟨a, b | aab=ab, aba=ba⟩
Next:#5377 ⟨a, b | aab=ab, 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 ⇒ ab
  2. b2 ⇒ aba
  3. (ba)2 ⇒ (ab)2 
# ab:aab=ab,aba=bb reversed:a/b
aab=ab
bb=aba
baba=abab

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
1116156⟨a, b | aab=ab, aaba=bb⟩φ(a) = a, φ(b) = b