#6556 ⟨a, b | aaa=a, babb=ab⟩

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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. a3 ⇒ a
  2. a2c ⇒ c
  3. c3 ⇒ c
  4. c2ac ⇒ ac
  5. bc ⇒ ac2
  6. bac ⇒ (ac)2
  7. ab ⇒ c
  8. cb ⇒ cac 
# ab:aaa=a,babb=ab ac/b ab=c frequency:2/0
aaa=a
aac=c
ccc=c
ccac=ac
bc=acc
bac=acac
ab=c
cb=cac

Right Cayley graph (truncated)

Left Cayley graph (truncated)