#5767 ⟨a, b | aabbab=babba⟩

Up:Monoids with two generators and one relation
Prev:#5766 ⟨a, b | aabbab=babab⟩
Next:#5768 ⟨a, b | aabbab=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. a2b2ab ⇒ bab2a [1]
# ab:aabbab=babba ab
aabbab=babba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91091⟨a, b | aabbab=baa⟩Infinite cancellative non-commutative monoid
114639⟨a, b | aababaab=baa⟩Infinite cancellative non-commutative monoid