#5829 ⟨a, b | abaaab=babaa⟩

Up:Monoids with two generators and one relation
Prev:#5828 ⟨a, b | abaaab=baabb⟩
Next:#5830 ⟨a, b | abaaab=babab⟩

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. baba2 ⇒ aba3b [1]
# ab:abaaab=babaa reversed:a/b
babaa=abaaab

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91251⟨a, b | abaab=bbaa⟩Infinite cancellative non-commutative monoid
102541⟨a, b | aabbab=baba⟩Infinite cancellative non-commutative monoid