#851 ⟨a, b | ababbaab=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. a2c ⇒ aca
  2. (ac)2 ⇒ a
  3. abac ⇒ abca
  4. abcac ⇒ ab
  5. a3b ⇒ acabca2
  6. aca2b ⇒ abca2
  7. ab2 ⇒ c
  8. aba2b ⇒ (abc)2a2
  9. abca2b ⇒ a 
# ab:ababbaab=a ca/b abb=c frequency:3/1
aac=aca
acac=a
abac=abca
abcac=ab
aaab=acabcaa
acaab=abcaa
abb=c
abaab=abcabcaa
abcaab=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)