#1979 ⟨a, b | aababbba=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. b2a ⇒ a2bac
  2. b2c ⇒ cabac
  3. a(ab)2c ⇒ ba2bac
  4. a(abac)2 ⇒ c
  5. c(ab)2c ⇒ bcabac
  6. a2b(aba)2c ⇒ ba
  7. cab(aba)2c ⇒ bc 
# ab:aababbba=ba ac/b bbbba=c frequency:5/1
bba=aabac
bbc=cabac
aababc=baabac
aabacabac=c
cababc=bcabac
aababaabac=ba
cababaabac=bc

Right Cayley graph (truncated)

Left Cayley graph (truncated)