#23300 ⟨a, b | aaa=1, baab=abbb⟩

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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 ⇒ 1
  2. ba2b ⇒ ab3
  3. b2ab3 ⇒ a2b4
  4. bab6 ⇒ a2bab4
  5. b(ba)2b4 ⇒ ab5
  6. b9 ⇒ (ab)3b3
  7. (ba)3b4 ⇒ (ab)3b4 
# ab:aaa=1,baab=abbb ab
aaa=1
baab=abbb
bbabbb=aabbbb
babbbbbb=aababbbb
bbababbbb=abbbbb
bbbbbbbbb=abababbbb
babababbbb=abababbbbb

Right Cayley graph (truncated)

Left Cayley graph (truncated)