#8984 ⟨a, b | ab=a, aaaaa=aa⟩

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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 ⇒ a
  2. a5 ⇒ a2 
# ab:ab=a,aaaaa=aa ab
ab=a
aaaaa=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.

7 total

Σ#PresentationMapping
1124864⟨a, b | ab=a, aaaaab=aa⟩φ(a) = a, φ(b) = b
1124868⟨a, b | ab=a, aaaaba=aa⟩φ(a) = a, φ(b) = b
1124876⟨a, b | ab=a, aaabaa=aa⟩φ(a) = a, φ(b) = b
1124892⟨a, b | ab=a, aabaaa=aa⟩φ(a) = a, φ(b) = b
1124924⟨a, b | ab=a, abaaaa=aa⟩φ(a) = a, φ(b) = b
1125405⟨a, b | ab=a, aaaaa=aab⟩φ(a) = a, φ(b) = b
1125406⟨a, b | ab=a, aaaaa=aba⟩φ(a) = a, φ(b) = b