#2080 ⟨a, b | aab=b, bbba=a⟩

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Properties

Complete 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
  1. a3 ⇒ a
  2. a2b ⇒ b
  3. b3a ⇒ a
  4. b4 ⇒ b 
# ab:aab=b,bbba=a ab
aaa=a
aab=b
bbba=a
bbbb=b

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

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

5 total

Σ#PresentationMapping
1118988⟨a, b | aab=b, aabbba=a⟩φ(a) = a, φ(b) = b
1119016⟨a, b | aab=b, abbbaa=a⟩φ(a) = a, φ(b) = b
1119036⟨a, b | aab=b, baabba=a⟩φ(a) = a, φ(b) = b
1119060⟨a, b | aab=b, bbaaba=a⟩φ(a) = a, φ(b) = b
1119072⟨a, b | aab=b, bbbaaa=a⟩φ(a) = a, φ(b) = b