#2770 ⟨a, b | babbb=aabaa⟩

Up:Monoids with two generators and one relation
Prev:#2769 ⟨a, b | babbb=aaaba⟩
Next:#2771 ⟨a, b | babbb=abaaa⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic 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. bab3 ⇒ a2ba2 [1]
2. bab(ba2)2 ⇒ a2ba3b3 [2]
# ab:babbb=aabaa ab
babbb=aabaa
babbaabaa=aabaaabbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113596⟨a, b | aabababbaa=b⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113473⟨a, b | aaababbaba=b⟩Infinite cancellative non-commutative monoid