#6773 ⟨a, b | aba=b, aabb=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. aba ⇒ b
  2. b2a ⇒ ab2
  3. b3 ⇒ b
  4. a2b2 ⇒ a2
  5. bab2 ⇒ ba 
# ab:aba=b,aabb=aa ab
aba=b
bba=abb
bbb=b
aabb=aa
babb=ba

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.

1 total

Σ#PresentationMapping
106781⟨a, b | aba=b, abba=aa⟩φ(a) = a, φ(b) = b