#2096 ⟨a, b | aaaaaaa=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. b3a ⇒ ab3 [2]
2. a7 ⇒ b3 [1]
# ab:aaaaaaa=bbb ab
bbba=abbb
aaaaaaa=bbb

Other submonoids of same group

2 unique, 5 total

Σ#PresentationDescriptionRelated
101289⟨a, b | aaaaaabbba=1⟩Infinite non-Abelian group3 iso
115433⟨a, b | aaaaaa=babab⟩Infinite cancellative non-commutative monoid