#8986 ⟨a, b | ab=a, aaaaa=ba⟩

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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. a6 ⇒ a2
  2. ba ⇒ a5
  3. ab ⇒ a 
# ab:ab=a,aaaaa=ba a/b
aaaaaa=aa
ba=aaaaa
ab=a

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
1124866⟨a, b | ab=a, aaaaab=ba⟩φ(a) = a, φ(b) = b
1124870⟨a, b | ab=a, aaaaba=ba⟩φ(a) = a, φ(b) = b
1124878⟨a, b | ab=a, aaabaa=ba⟩φ(a) = a, φ(b) = b
1124894⟨a, b | ab=a, aabaaa=ba⟩φ(a) = a, φ(b) = b
1124926⟨a, b | ab=a, abaaaa=ba⟩φ(a) = a, φ(b) = b
1125409⟨a, b | ab=a, aaaaa=bab⟩φ(a) = a, φ(b) = b