#2304 ⟨a, b | abaaaba=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. aba3ba ⇒ b3 [1]
2. b3a2ba ⇒ aba2b3 [2]
3. b4a3ba ⇒ aba3b4 [3]
# ab:abaaaba=bbb ab
abaaaba=bbb
bbbaaba=abaabbb
bbbbaaaba=abaaabbbb

Other submonoids of same group

1 unique, 4 total

Σ#PresentationDescriptionRelated
112972⟨a, b | aaabbababba=1⟩Infinite non-Abelian group3 iso