#6828 ⟨a, b | aba=a, baa=aab⟩

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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. ca ⇒ ac
  2. cb ⇒ c2
  3. bc ⇒ c2
  4. a2b ⇒ a2c
  5. ac2 ⇒ c
  6. aba ⇒ a
  7. ba2 ⇒ a2c
  8. bac ⇒ c
  9. a3c ⇒ a2 
# ab:aba=a,baa=aab acb aabbb=c frequency:5/1
ca=ac
cb=cc
bc=cc
aab=aac
acc=c
aba=a
baa=aac
bac=c
aaac=aa

Right Cayley graph (truncated)

Left Cayley graph (truncated)