#8712 ⟨a, b | ab=a, aaaaaa=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. ab ⇒ a
  2. a6 ⇒ a 
# ab:ab=a,aaaaaa=a ab
ab=a
aaaaaa=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.

7 total

Σ#PresentationMapping
1124334⟨a, b | ab=a, aaaaaab=a⟩φ(a) = a, φ(b) = b
1124336⟨a, b | ab=a, aaaaaba=a⟩φ(a) = a, φ(b) = b
1124340⟨a, b | ab=a, aaaabaa=a⟩φ(a) = a, φ(b) = b
1124348⟨a, b | ab=a, aaabaaa=a⟩φ(a) = a, φ(b) = b
1124364⟨a, b | ab=a, aabaaaa=a⟩φ(a) = a, φ(b) = b
1124396⟨a, b | ab=a, abaaaaa=a⟩φ(a) = a, φ(b) = b
1124861⟨a, b | ab=a, aaaaaa=ab⟩φ(a) = a, φ(b) = b