#16450 ⟨a, b | aba=bb, aabb=ba⟩

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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. b9 ⇒ b3
  2. b8a ⇒ b2a
  3. b7ab ⇒ bab
  4. ab3 ⇒ b3a
  5. ba2 ⇒ b5ab
  6. aba ⇒ b2
  7. ab2a ⇒ b2ab2
  8. a2b2 ⇒ ba 
# ab:aba=bb,aabb=ba reversed:b/a
bbbbbbbbb=bbb
bbbbbbbba=bba
bbbbbbbab=bab
abbb=bbba
baa=bbbbbab
aba=bb
abba=bbabb
aabb=ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)