#5591 ⟨a, b | aaabab=bbaba⟩

Up:Monoids with two generators and one relation
Prev:#5590 ⟨a, b | aaabab=bbaab⟩
Next:#5592 ⟨a, b | aaabab=bbabb⟩

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. a3bab ⇒ b(ba)2 [1]
# ab:aaabab=bbaba ab
aaabab=bbaba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
102181⟨a, b | aaababb=bba⟩Infinite cancellative non-commutative monoid
114654⟨a, b | aabababb=baa⟩Infinite cancellative non-commutative monoid