#1093 ⟨a, b | aabbab=bba⟩

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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. a2b2ab ⇒ b2a [1]
# ab:aabbab=bba ab
aabbab=bba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
9935⟨a, b | aabaabb=ba⟩Infinite cancellative non-commutative monoid
114078⟨a, b | aabaaabab=ba⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationDescriptionRelated
102311⟨a, b | abaabab=bba⟩Infinite cancellative non-commutative monoid
102751⟨a, b | baaba=ababb⟩Infinite cancellative non-commutative monoid
114771⟨a, b | abaaabab=baa⟩Infinite cancellative non-commutative monoid