#5708 ⟨a, b | aababa=bbbbb⟩

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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. a2(ba)2 ⇒ b5 [1]
2. b4(ba)3 ⇒ a2bab6 [2]
# ab:aababa=bbbbb ab
aababa=bbbbb
bbbbbababa=aababbbbbb

Other submonoids of same group

1 unique, 8 total

Σ#PresentationDescriptionRelated
112823⟨a, b | aaaaababbba=1⟩Infinite non-Abelian group4 iso, 3 anti-iso