#1099 ⟨a, b | aabbba=baa⟩

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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. a2e3 ⇒ ea
  2. ad ⇒ e
  3. da ⇒ ae3
  4. de ⇒ ae3d
  5. ca ⇒ ae
  6. ce ⇒ aed
  7. cd ⇒ dc
  8. ba2 ⇒ a2c
  9. bea ⇒ a3e(ae3)2d
  10. bae ⇒ aec
  11. be2 ⇒ a3e(ae3)2d2
  12. c3 ⇒ d
  13. b3a ⇒ c
  14. b3e ⇒ dc 
# ab:aabbba=baa reversed:ae/d/cb bbba=c,ccc=d,ad=e frequency:4/2,3/0,2/1
aaeee=ea
ad=e
da=aeee
de=aeeed
ca=ae
ce=aed
cd=dc
baa=aac
bea=aaaeaeeeaeeed
bae=aec
bee=aaaeaeeeaeeedd
ccc=d
bbba=c
bbbe=dc

Right Cayley graph (truncated)

Left Cayley graph (truncated)