#5721 ⟨a, b | aababb=baaaa⟩

Up:Monoids with two generators and one relation
Prev:#5720 ⟨a, b | aababb=abbba⟩
Next:#5722 ⟨a, b | aababb=baaba⟩

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 ⇒ ba4 [1]
# ab:aababb=baaaa ab
aababb=baaaa

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114451⟨a, b | aaaababb=baa⟩Infinite cancellative non-commutative monoid