#1994 ⟨a, b | aabbabab=ba⟩

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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. a2b2(ab)2 ⇒ ba [1]
# ab:aabbabab=ba ab
aabbabab=ba

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
91109⟨a, b | abaaab=bba⟩Infinite cancellative non-commutative monoid
102044⟨a, b | abaabbab=ba⟩Infinite cancellative non-commutative monoid
115291⟨a, b | abaaaab=baba⟩Infinite cancellative non-commutative monoid