#1018 ⟨a, b | ab=a, bba=ba⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

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. ab ⇒ a [1]
2. b2a ⇒ ba [2]
# ab:ab=a,bba=ba ab
ab=a
bba=ba

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

9 total

Σ#PresentationMapping
93126⟨a, b | ab=a, bbab=ba⟩φ(a) = a, φ(b) = b
93192⟨a, b | ab=a, bba=bab⟩φ(a) = a, φ(b) = b
109094⟨a, b | ab=a, bbabb=ba⟩φ(a) = a, φ(b) = b
109350⟨a, b | ab=a, babb=bba⟩φ(a) = a, φ(b) = b
109365⟨a, b | ab=a, bbab=bab⟩φ(a) = a, φ(b) = b
1125082⟨a, b | ab=a, bbabbb=ba⟩φ(a) = a, φ(b) = b
1125594⟨a, b | ab=a, babbb=bba⟩φ(a) = a, φ(b) = b
1125625⟨a, b | ab=a, bbabb=bab⟩φ(a) = a, φ(b) = b
1125881⟨a, b | ab=a, bbab=babb⟩φ(a) = a, φ(b) = b