#2190 ⟨a, b | aaabbaa=bbb⟩

Up:Monoids with two generators and one relation
Prev:#2189 ⟨a, b | aaabbaa=bba⟩
Next:#2191 ⟨a, b | aaabbab=aaa⟩

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. b3 ⇒ a3b2a2 [1]
2. a3b2a2b ⇒ ba3b2a2 [2]
# ab:aaabbaa=bbb a/b
bbb=aaabbaa
aaabbaab=baaabbaa

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101926⟨a, b | aaabbbaa=bb⟩Infinite cancellative non-commutative monoid