#13054 ⟨a, b | baa=aab, abba=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. cb ⇒ c2
  3. bc ⇒ c2
  4. a2b ⇒ a2c
  5. ba2 ⇒ a2c
  6. bac ⇒ ac2
  7. ac3 ⇒ c
  8. ab2a ⇒ a
  9. a3c2 ⇒ a2 
# ab:baa=aab,abba=a acb aabbbbb=c frequency:7/0
ca=ac
cb=cc
bc=cc
aab=aac
baa=aac
bac=acc
accc=c
abba=a
aaacc=aa

Right Cayley graph (truncated)

Left Cayley graph (truncated)