#2432 ⟨a, b | aaabaa=babb⟩

Up:Monoids with two generators and one relation
Prev:#2431 ⟨a, b | aaabaa=baba⟩
Next:#2433 ⟨a, b | aaabaa=bbaa⟩

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. bab2 ⇒ a3ba2 [1]
2. (a3b)2b ⇒ b(aba2)2 [2]
# ab:aaabaa=babb a/b
babb=aaabaa
aaabaaabb=babaaabaa

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101644⟨a, b | aaabbabaa=b⟩Infinite cancellative non-commutative monoid