#2768 ⟨a, b | babbb=aaaaa⟩

Up:Monoids with two generators and one relation
Prev:#2767 ⟨a, b | babab=ababa⟩
Next:#2769 ⟨a, b | babbb=aaaba⟩

Quick links

  1. Properties
  2. Rewriting system
  3. 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 ⇒ a5 [1]
2. bab2a5 ⇒ a6b3 [2]
# ab:babbb=aaaaa ab
babbb=aaaaa
babbaaaaa=aaaaaabbb

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101662⟨a, b | aaabbbbba=b⟩Infinite cancellative non-commutative monoid