#6436 ⟨a, b | aab=b, bbabb=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. a3 ⇒ a
  2. a2c ⇒ c
  3. ca2 ⇒ c
  4. cac ⇒ a
  5. ba2 ⇒ b
  6. cb ⇒ bc
  7. a2b ⇒ b
  8. cab ⇒ abaca
  9. b2 ⇒ c 
# ab:aab=b,bbabb=a ac/b bb=c frequency:2/0
aaa=a
aac=c
caa=c
cac=a
baa=b
cb=bc
aab=b
cab=abaca
bb=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)