#1723 ⟨a, b | aabbabbaa=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. ca ⇒ ac
  2. c2b2c ⇒ cb2c2
  3. a2 ⇒ c
  4. c2b2a ⇒ cb2ac
  5. acb2c ⇒ ab2c2
  6. acb2a ⇒ ab2ac
  7. cb2ab2c ⇒ a
  8. c(b2a)2c ⇒ c
  9. (ab2)2c ⇒ c(b2a)2
  10. a(b2a)2c ⇒ a 
# ab:aabbabbaa=a c/ba aa=c frequency:2/0
ca=ac
ccbbc=cbbcc
aa=c
ccbba=cbbac
acbbc=abbcc
acbba=abbac
cbbabbc=a
cbbabbac=c
abbabbc=cbbabba
abbabbac=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)