#1702 ⟨a, b | aababbaba=b⟩

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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. a2b(ab2)2 ⇒ ba(bab)2a [2]
2. a2(bab)2a ⇒ b [1]
# ab:aababbaba=b ba
aababbabb=bababbaba
aababbaba=b

Other submonoids of same group

4 unique, 4 total

Σ#PresentationDescriptionRelated
9807⟨a, b | aababbaa=b⟩Infinite cancellative non-commutative monoid
91205⟨a, b | aabaa=babb⟩Infinite cancellative non-commutative monoid
113564⟨a, b | aabaababaa=b⟩Infinite cancellative non-commutative monoid
115904⟨a, b | ababba=bbabb⟩Infinite cancellative non-commutative monoid