#13103 ⟨a, b | bab=aba, aaab=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. bab ⇒ aba
  2. a3b ⇒ b
  3. b3a ⇒ ab3
  4. b4 ⇒ ba3
  5. ba4 ⇒ ba
  6. ba2ba ⇒ aba2b
  7. ba2b2 ⇒ a2b2a
  8. b2a3 ⇒ b2
  9. b2a2b ⇒ ab2a2 
# ab:bab=aba,aaab=b ab
bab=aba
aaab=b
bbba=abbb
bbbb=baaa
baaaa=ba
baaba=abaab
baabb=aabba
bbaaa=bb
bbaab=abbaa

Right Cayley graph (truncated)

Left Cayley graph (truncated)