#5860 ⟨a, b | abaaba=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. (aba)2 ⇒ b5 [1]
2. b5aba ⇒ abab5 [2]
3. b6a2ba ⇒ aba2b6 [3]
# ab:abaaba=bbbbb ab
abaaba=bbbbb
bbbbbaba=ababbbbb
bbbbbbaaba=abaabbbbbb

Other submonoids of same group

1 unique, 5 total

Σ#PresentationDescriptionRelated
112831⟨a, b | aaaaabbabba=1⟩Infinite non-Abelian group4 iso