#7158 ⟨a, b | ab=aa, aab=aaa⟩

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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. ab ⇒ a2 
# ab:ab=aa,aab=aaa ab
ab=aa

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.

6 total

Σ#PresentationMapping
107159⟨a, b | ab=aa, aba=aaa⟩φ(a) = a, φ(b) = b
107160⟨a, b | ab=aa, aba=aab⟩φ(a) = a, φ(b) = b
107161⟨a, b | ab=aa, abb=aaa⟩φ(a) = a, φ(b) = b
107162⟨a, b | ab=aa, abb=aab⟩φ(a) = a, φ(b) = b
107163⟨a, b | ab=aa, abb=aba⟩φ(a) = a, φ(b) = b
107172⟨a, b | ab=aa, bab=baa⟩φ(a) = a, φ(b) = b