#1792 ⟨a, b | ababbabba=b⟩

Up:Monoids with two generators and one relation
Prev:#1791 ⟨a, b | ababbabba=a⟩
Next:#1793 ⟨a, b | ababbbaab=a⟩

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. abab2ab3 ⇒ (b2a)3 [2]
2. aba(b2a)2 ⇒ b [1]
# ab:ababbabba=b ba
ababbabbb=bbabbabba
ababbabba=b

Other submonoids of same group

3 unique, 5 total

Σ#PresentationDescriptionRelated
8310⟨a, b | aababbba=1⟩Infinite non-Abelian group2 iso
8450⟨a, b | aababa=bb⟩Infinite cancellative non-commutative monoid
102220⟨a, b | aabaaba=bab⟩Infinite cancellative non-commutative monoid