#6403 ⟨a, b | aab=b, ababa=b⟩

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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. a2b ⇒ b
  2. ba2 ⇒ b
  3. bab ⇒ aba
  4. b2a ⇒ ab2
  5. b3 ⇒ b 
# ab:aab=b,ababa=b ab
aab=b
baa=b
bab=aba
bba=abb
bbb=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.

1 total

Σ#PresentationMapping
106703⟨a, b | aab=b, baba=ab⟩φ(a) = a, φ(b) = b