#439 ⟨a, b | aaabba=bb⟩

Up:Monoids with two generators and one relation
Prev:#438 ⟨a, b | aaabba=ba⟩
Next:#440 ⟨a, b | aaabbb=aa⟩

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. a3b2a ⇒ b2 [1]
2. a3b4 ⇒ b2a2b2a [2]
# ab:aaabba=bb ba
aaabba=bb
aaabbbb=bbaabba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
101788⟨a, b | abababbba=b⟩Infinite cancellative non-commutative monoid
102172⟨a, b | aaababa=bab⟩Infinite cancellative non-commutative monoid