#7792 ⟨a, b | aaa=1, ababb=bb⟩

Up:Monoids with two generators and two relations
Prev:#7791 ⟨a, b | aaa=1, ababb=ba⟩
Next:#7795 ⟨a, b | aaa=1, abbab=ba⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

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
#RuleProof
1. a3 ⇒ 1 [1]
2. a2b2 ⇒ bab2 [3]
3. abab2 ⇒ b2 [2]
# ab:aaa=1,ababb=bb ba
aaa=1
aabb=babb
ababb=bb

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1123307⟨a, b | aaa=1, babb=aabb⟩φ(a) = a, φ(b) = b