#5587 ⟨a, b | aaabab=babba⟩

Up:Monoids with two generators and one relation
Prev:#5586 ⟨a, b | aaabab=babab⟩
Next:#5588 ⟨a, b | aaabab=babbb⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

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. a3bab ⇒ bab2a [1]
# ab:aaabab=babba ab
aaabab=babba

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102197⟨a, b | aaabbab=bba⟩Infinite cancellative non-commutative monoid