#594 ⟨a, b | aab=b, abb=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. b2 ⇒ a2
  2. a3 ⇒ a
  3. a2b ⇒ b
  4. ba2 ⇒ b 
# ab:aab=b,abb=a ab
bb=aa
aaa=a
aab=b
baa=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.

2 total

Σ#PresentationMapping
106388⟨a, b | aab=b, aaabb=a⟩φ(a) = a, φ(b) = b
106400⟨a, b | aab=b, abaab=a⟩φ(a) = a, φ(b) = b