#5665 ⟨a, b | aabaab=babaa⟩

Up:Monoids with two generators and one relation
Prev:#5664 ⟨a, b | aabaab=baabb⟩
Next:#5666 ⟨a, b | aabaab=babab⟩

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. baba2 ⇒ (a2b)2 [1]
# ab:aabaab=babaa reversed:a/b
babaa=aabaab

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91219⟨a, b | aabab=bbaa⟩Infinite cancellative non-commutative monoid
102519⟨a, b | aababb=baba⟩Infinite cancellative non-commutative monoid