#1840 ⟨a, b | aaaaabab=ba⟩

Up:Monoids with two generators and one relation
Prev:#1839 ⟨a, b | aaaaabab=ab⟩
Next:#1841 ⟨a, b | aaaaabab=bb⟩

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. a5bab ⇒ ba [1]
# ab:aaaaabab=ba ab
aaaaabab=ba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
9880⟨a, b | aaaaabb=ba⟩Infinite cancellative non-commutative monoid
113870⟨a, b | aaaaabaab=ba⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationDescriptionRelated
91015⟨a, b | aaaaab=bba⟩Infinite cancellative non-commutative monoid
102383⟨a, b | aaaaab=baba⟩Infinite cancellative non-commutative monoid
115455⟨a, b | aaaaab=baaba⟩Infinite cancellative non-commutative monoid