#2069 ⟨a, b | ababbbba=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. cbabc ⇒ bcbac
  5. ba(bac)2 ⇒ c
  6. aba2(bac)2 ⇒ ba
  7. a(bac)3 ⇒ bc
  8. cba2(bac)2 ⇒ bc 
# ab:ababbbba=ba ac/b bbbbba=c frequency:6/1
bba=abac
bbc=cbac
ababc=babac
cbabc=bcbac
babacbac=c
abaabacbac=ba
abacbacbac=bc
cbaabacbac=bc

Right Cayley graph (truncated)

Left Cayley graph (truncated)