#2062 ⟨a, b | ababbaab=ba⟩

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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. bc ⇒ cac2ab
  2. abac ⇒ ba
  3. b2ac ⇒ cacbacab
  4. b2a2c ⇒ cba2b
  5. b2a2b ⇒ c
  6. b3a ⇒ cac2
  7. b(ba)2 ⇒ cac
  8. (b2a)2 ⇒ cacbac 
# ab:ababbaab=ba reversed:ac/b bbaab=c frequency:5/1
bc=caccab
abac=ba
bbac=cacbacab
bbaac=cbaab
bbaab=c
bbba=cacc
bbaba=cac
bbabba=cacbac

Right Cayley graph (truncated)

Left Cayley graph (truncated)