#377 ⟨a, b | aababaa=a⟩

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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. c2bc ⇒ cbc2
  2. ca ⇒ ac
  3. c2ba ⇒ cbac
  4. acbc ⇒ abc2
  5. a2 ⇒ c
  6. cbabc ⇒ a
  7. acba ⇒ abac
  8. c(ba)2c ⇒ c
  9. (ab)2c ⇒ c(ba)2
  10. a(ba)2c ⇒ a 
# ab:aababaa=a c/ba aa=c frequency:2/0
ccbc=cbcc
ca=ac
ccba=cbac
acbc=abcc
aa=c
cbabc=a
acba=abac
cbabac=c
ababc=cbaba
ababac=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)