#991 ⟨a, b | ababbba=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 ⇒ abac
  2. b2c ⇒ cbac
  3. (ab)2c ⇒ (ba)2c
  4. a(bac)2 ⇒ c
  5. cbabc ⇒ bcbac
  6. a(ba)3c ⇒ ba
  7. c(ba)3c ⇒ bc 
# ab:ababbba=ba ac/b bbbba=c frequency:5/1
bba=abac
bbc=cbac
ababc=babac
abacbac=c
cbabc=bcbac
abababac=ba
cbababac=bc

Right Cayley graph (truncated)

Left Cayley graph (truncated)