#12614 ⟨a, b | baab=aa, 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. bab2 ⇒ a
  2. a2b5 ⇒ a2
  3. ba2 ⇒ a2b4
  4. (ba)2 ⇒ a2b2
  5. a2ba ⇒ a3b3
  6. a2b2a ⇒ a3b
  7. a2b3a ⇒ a3b4
  8. a2b4a ⇒ a3b2 
# ab:baab=aa,babb=a b/a
babb=a
aabbbbb=aa
baa=aabbbb
baba=aabb
aaba=aaabbb
aabba=aaab
aabbba=aaabbbb
aabbbba=aaabb

Right Cayley graph (truncated)

Left Cayley graph (truncated)