#5038 ⟨a, b | aaa=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. a3 ⇒ a2
  2. aba2 ⇒ ba2
  3. (ba)2 ⇒ a2b2
  4. ba2ba ⇒ a2b2
  5. b2a2 ⇒ a2b2a
  6. bab2 ⇒ a
  7. a2b3a ⇒ ba2b2
  8. ba2b2a ⇒ a2
  9. a2b4 ⇒ ba2 
# ab:aaa=aa,babb=a reversed:a/b
aaa=aa
abaa=baa
baba=aabb
baaba=aabb
bbaa=aabba
babb=a
aabbba=baabb
baabba=aa
aabbbb=baa

Right Cayley graph (truncated)

Left Cayley graph (truncated)