#13060 ⟨a, b | baa=aab, babb=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. ba2 ⇒ a2b
  2. a2ba ⇒ a3b
  3. (ba)2 ⇒ a2b2
  4. bab2 ⇒ a
  5. a2b2a ⇒ a3b2
  6. a3b3 ⇒ a3
  7. a2b3a ⇒ a3
  8. a2b4 ⇒ a2b 
# ab:baa=aab,babb=a ab
baa=aab
aaba=aaab
baba=aabb
babb=a
aabba=aaabb
aaabbb=aaa
aabbba=aaa
aabbbb=aab

Right Cayley graph (truncated)

Left Cayley graph (truncated)