#170 ⟨a, b | aaabaa=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 ⇒ baba2 [2]
2. a3bab ⇒ (ba2)2 [3]
3. a3ba2 ⇒ b [1]
# ab:aaabaa=b ba
aaabb=babaa
aaabab=baabaa
aaabaa=b

Other submonoids of same group

1 unique, 3 total

Σ#PresentationDescriptionRelated
101515⟨a, b | abababbaba=1⟩Infinite non-Abelian group2 iso