#2771 ⟨a, b | babbb=abaaa⟩

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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. bab3 ⇒ aba3 [1]
2. (bab)2a3 ⇒ aba4b3 [2]
# ab:babbb=abaaa ab
babbb=abaaa
babbabaaa=abaaaabbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113466⟨a, b | aaabababba=b⟩Infinite cancellative non-commutative monoid