#18708 ⟨a, b | aaa=a, aababb=a⟩

Up:Monoids with two generators and two relations
Prev:#18706 ⟨a, b | aaa=a, aababa=a⟩
Next:#18709 ⟨a, b | aaa=a, aababb=b⟩

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. a3 ⇒ a
  2. abab2 ⇒ a2 
# ab:aaa=a,aababb=a ab
aaa=a
ababb=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
1119269⟨a, b | aaa=a, ababb=aa⟩φ(a) = a, φ(b) = b