#1693 ⟨a, b | aabababaa=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. a2 ⇒ c
  2. ca ⇒ ac
  3. abac ⇒ acba
  4. abc2 ⇒ acbc
  5. cbac ⇒ c2ba
  6. cbc2 ⇒ c2bc
  7. c(ba)3 ⇒ (ab)3c
  8. cb(ab)2c ⇒ a 
# ab:aabababaa=a acb aa=c frequency:2/2
aa=c
ca=ac
abac=acba
abcc=acbc
cbac=ccba
cbcc=ccbc
cbababa=abababc
cbababc=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)