#12906 ⟨a, b | aab=aaa, bbab=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. a2b ⇒ a3
  2. b2a2 ⇒ (ab)2
  3. b2ab ⇒ a
  4. a(ba)2 ⇒ aba3
  5. abab2 ⇒ aba3
  6. a6 ⇒ a3
  7. aba5 ⇒ aba2 
# ab:aab=aaa,bbab=a ab
aab=aaa
bbaa=abab
bbab=a
ababa=abaaa
ababb=abaaa
aaaaaa=aaa
abaaaaa=abaa

Right Cayley graph (truncated)

Left Cayley graph (truncated)