#16443 ⟨a, b | aba=bb, aaab=bb⟩

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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. a8b ⇒ a7b
  2. aba ⇒ a3b
  3. b2 ⇒ a3b
  4. ba3b ⇒ a6b
  5. ba5b ⇒ a7b
  6. ba6b ⇒ a7b
  7. ba7b ⇒ a7b 
# ab:aba=bb,aaab=bb reversed:a/b
aaaaaaaab=aaaaaaab
aba=aaab
bb=aaab
baaab=aaaaaab
baaaaab=aaaaaaab
baaaaaab=aaaaaaab
baaaaaaab=aaaaaaab

Right Cayley graph (truncated)

Left Cayley graph (truncated)