#2168 ⟨a, b | aaababa=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. a2b ⇒ a2c
  2. acb ⇒ ac2
  3. cab ⇒ cac
  4. c2b ⇒ c3
  5. cba ⇒ abc
  6. ac2a ⇒ a2c2
  7. c3a ⇒ cac2
  8. a(ba)2 ⇒ c
  9. a2(ca)2 ⇒ ac
  10. (ca)3 ⇒ c2 
# ab:aaababa=aab acb ababa=c frequency:5/0
aab=aac
acb=acc
cab=cac
ccb=ccc
cba=abc
acca=aacc
ccca=cacc
ababa=c
aacaca=ac
cacaca=cc

Right Cayley graph (truncated)

Left Cayley graph (truncated)