#2402 ⟨a, b | aaaaba=bbab⟩

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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. b2ab ⇒ a4ba [1]
2. a3(ab)3 ⇒ b2a5ba [2]
# ab:aaaaba=bbab a/b
bbab=aaaaba
aaaababab=bbaaaaaba

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101592⟨a, b | aaaababba=b⟩Infinite cancellative non-commutative monoid