#3128 ⟨a, b | ab=a, bbba=aa⟩

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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. a3 ⇒ a2 [3]
3. b3a ⇒ a2 [2]
# ab:ab=a,bbba=aa ab
ab=a
aaa=aa
bbba=aa

Isomorphic instances

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

9 total

Σ#PresentationMapping
109100⟨a, b | ab=a, bbbab=aa⟩φ(a) = a, φ(b) = b
109369⟨a, b | ab=a, bbba=aab⟩φ(a) = a, φ(b) = b
109370⟨a, b | ab=a, bbba=aba⟩φ(a) = a, φ(b) = b
1125096⟨a, b | ab=a, bbbabb=aa⟩φ(a) = a, φ(b) = b
1125637⟨a, b | ab=a, bbbab=aab⟩φ(a) = a, φ(b) = b
1125638⟨a, b | ab=a, bbbab=aba⟩φ(a) = a, φ(b) = b
1125886⟨a, b | ab=a, bbba=aabb⟩φ(a) = a, φ(b) = b
1125888⟨a, b | ab=a, bbba=abab⟩φ(a) = a, φ(b) = b
1125889⟨a, b | ab=a, bbba=abba⟩φ(a) = a, φ(b) = b