#5859 ⟨a, b | abaaba=bbabb⟩

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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. (aba)2 ⇒ b2ab2 [1]
2. (b2a)2ba ⇒ ab(ab2)2 [2]
3. b2ab3a2ba ⇒ aba2b3ab2 [3]
# ab:abaaba=bbabb ab
abaaba=bbabb
bbabbaba=ababbabb
bbabbbaaba=abaabbbabb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101724⟨a, b | aabbabbaa=b⟩Infinite cancellative non-commutative monoid