#5736 ⟨a, b | aaab=1, aaaab=a⟩

Up:Monoids with two generators and two relations
Prev:#5733 ⟨a, b | aaaa=1, bbbbb=b⟩
Next:#5745 ⟨a, b | aaab=1, aabab=b⟩

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. a3b ⇒ 1 [1]
# ab:aaab=1,aaaab=a ab
aaab=1

Isomorphic instances

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

3 total

Σ#PresentationMapping
105738⟨a, b | aaab=1, aaaba=a⟩φ(a) = a, φ(b) = b
105741⟨a, b | aaab=1, aaabb=b⟩φ(a) = a, φ(b) = b
105769⟨a, b | aaab=1, baaab=b⟩φ(a) = a, φ(b) = b