#2209 ⟨a, b | aabaaab=aba⟩

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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. c10b ⇒ c2bc
  2. c4bc9b ⇒ c4(bc)2
  3. ac8b ⇒ abc
  4. ca ⇒ ac2
  5. c2ba ⇒ ac4bc
  6. c4bcba ⇒ abc4bc
  7. a2bc9b ⇒ a2(bc)2
  8. aba ⇒ a2bc
  9. a3b ⇒ c
  10. a2bcba ⇒ c4bc 
# ab:aabaaab=aba bc/a aaab=c frequency:4/0
ccccccccccb=ccbc
ccccbcccccccccb=ccccbcbc
accccccccb=abc
ca=acc
ccba=accccbc
ccccbcba=abccccbc
aabcccccccccb=aabcbc
aba=aabc
aaab=c
aabcba=ccccbc

Right Cayley graph (truncated)

Left Cayley graph (truncated)