#1191 ⟨a, b | aaabb=baba⟩

Up:Monoids with two generators and one relation
Prev:#1190 ⟨a, b | aaabb=baab⟩
Next:#1192 ⟨a, b | aaabb=babb⟩

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. a3b2 ⇒ (ba)2 [1]
# ab:aaabb=baba ab
aaabb=baba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
102598⟨a, b | ababab=bbaa⟩Infinite cancellative non-commutative monoid
115583⟨a, b | aaabab=baaba⟩Infinite cancellative non-commutative monoid