#2518 ⟨a, b | aababb=baaa⟩

Up:Monoids with two generators and one relation
Prev:#2517 ⟨a, b | aababb=abba⟩
Next:#2519 ⟨a, b | aababb=baba⟩

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. a2bab2 ⇒ ba3 [1]
# ab:aababb=baaa ab
aababb=baaa

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102179⟨a, b | aaababb=baa⟩Infinite cancellative non-commutative monoid