#1789 ⟨a, b | ababbaaab=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. a3c ⇒ aca2
  2. aca2c ⇒ a
  3. aba2c ⇒ abca2
  4. abca2c ⇒ ab
  5. a4b ⇒ aca2bca3
  6. aca3b ⇒ abca3
  7. ab2 ⇒ c
  8. aba3b ⇒ a(bca2)2a
  9. abca3b ⇒ a 
# ab:ababbaaab=a ca/b abb=c frequency:3/1
aaac=acaa
acaac=a
abaac=abcaa
abcaac=ab
aaaab=acaabcaaa
acaaab=abcaaa
abb=c
abaaab=abcaabcaaa
abcaaab=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)