#919 ⟨a, b | aaabbab=ba⟩

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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. a3b2ab ⇒ ba [1]
# ab:aaabbab=ba ab
aaabbab=ba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91253⟨a, b | abaab=bbba⟩Infinite cancellative non-commutative monoid
113988⟨a, b | aaababaab=ba⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationDescriptionRelated
114184⟨a, b | aabbabbab=ba⟩Infinite cancellative non-commutative monoid
114789⟨a, b | abaabaab=bba⟩Infinite cancellative non-commutative monoid
115347⟨a, b | ababaab=baaa⟩Infinite cancellative non-commutative monoid