#5696 ⟨a, b | aababa=baabb⟩

Up:Monoids with two generators and one relation
Prev:#5695 ⟨a, b | aababa=baaba⟩
Next:#5697 ⟨a, b | aababa=babaa⟩

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. a2(ba)2 ⇒ ba2b2 [1]
2. a2bab2a2b2 ⇒ ba2b(ba)3 [2]
# ab:aababa=baabb ba
aababa=baabb
aababbaabb=baabbababa

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
114692⟨a, b | aabbaaba=bab⟩Infinite cancellative non-commutative monoid
114728⟨a, b | aabbbaba=bab⟩Infinite cancellative non-commutative monoid