#20135 ⟨a, b | aab=b, baba=bbb⟩

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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. b8 ⇒ b5
  2. b7a ⇒ b4a
  3. b4ab ⇒ b6a
  4. bab2 ⇒ b3ab
  5. b4a2 ⇒ b7
  6. (ba)2 ⇒ b3
  7. a2b ⇒ b 
# ab:aab=b,baba=bbb reversed:b/a
bbbbbbbb=bbbbb
bbbbbbba=bbbba
bbbbab=bbbbbba
babb=bbbab
bbbbaa=bbbbbbb
baba=bbb
aab=b

Right Cayley graph (truncated)

Left Cayley graph (truncated)