#5904 ⟨a, b | abab=1, aabab=a⟩

Up:Monoids with two generators and two relations
Prev:#5903 ⟨a, b | abab=1, aabaa=b⟩
Next:#6001 ⟨a, b | aaa=a, bbbbbb=1⟩

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. (ab)2 ⇒ 1 [1]
# ab:abab=1,aabab=a ab
abab=1

Isomorphic instances

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

1 total

Σ#PresentationMapping
105912⟨a, b | abab=1, ababa=a⟩φ(a) = a, φ(b) = b