#79 ⟨a, b | aaaba=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. a3b2 ⇒ ba2ba [2]
2. a3ba ⇒ b [1]
# ab:aaaba=b ba
aaabb=baaba
aaaba=b

Other submonoids of same group

1 unique, 2 total

Σ#PresentationDescriptionRelated
8331⟨a, b | abababba=1⟩Infinite non-Abelian group1 iso