#4190 ⟨a, b | bab=aba, bba=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. b2a ⇒ a
  2. aba ⇒ bab
  3. a2b ⇒ ba2
  4. a3 ⇒ ab2
  5. ab3 ⇒ ab 
# ab:bab=aba,bba=a ba
bba=a
aba=bab
aab=baa
aaa=abb
abbb=ab

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
106684⟨a, b | aab=b, abab=ba⟩φ(a) = b, φ(b) = a