#13100 ⟨a, b | bab=aba, aaaa=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. bab ⇒ aba
  2. a4 ⇒ a
  3. ba2ba ⇒ aba2b
  4. ba3ba ⇒ aba2b2
  5. aba2b3 ⇒ aba2
  6. aba3b2a ⇒ a2ba3b2
  7. aba3b3 ⇒ aba3
  8. aba2b2a2 ⇒ (a3b)2 
# ab:bab=aba,aaaa=a ab
bab=aba
aaaa=a
baaba=abaab
baaaba=abaabb
abaabbb=abaa
abaaabba=aabaaabb
abaaabbb=abaaa
abaabbaa=aaabaaab

Right Cayley graph (truncated)

Left Cayley graph (truncated)