#2686 ⟨a, b | ababa=abaab⟩

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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. cab ⇒ abc
  2. cba ⇒ abc
  3. c2a ⇒ cac
  4. c2b ⇒ cbc
  5. abca ⇒ abac
  6. ca2b ⇒ abac
  7. cacb ⇒ abc2
  8. cbca ⇒ abc2
  9. aba2b ⇒ c
  10. a(ba)2 ⇒ c
  11. abacb ⇒ (ab)2c 
# ab:ababa=abaab abc abaab=c magic:0
cab=abc
cba=abc
cca=cac
ccb=cbc
abca=abac
caab=abac
cacb=abcc
cbca=abcc
abaab=c
ababa=c
abacb=ababc

Right Cayley graph (truncated)

Left Cayley graph (truncated)