#2222 ⟨a, b | aabaaba=bbb⟩

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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. b3aba ⇒ a2b4 [2]
2. (a2b)2a ⇒ b3 [1]
# ab:aabaaba=bbb ab
bbbaba=aabbbb
aabaaba=bbb

Other submonoids of same group

1 unique, 8 total

Σ#PresentationDescriptionRelated
112946⟨a, b | aaababbabba=1⟩Infinite non-Abelian group4 iso, 3 anti-iso