#16441 ⟨a, b | aba=bb, aaab=ab⟩

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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. aba ⇒ b2
  2. a3b ⇒ ab
  3. a2b2 ⇒ b2
  4. b3a ⇒ ab3
  5. b2a2b ⇒ b3
  6. b2ab2 ⇒ ab3
  7. ab5 ⇒ bab3
  8. b7 ⇒ b4 
# ab:aba=bb,aaab=ab ab
aba=bb
aaab=ab
aabb=bb
bbba=abbb
bbaab=bbb
bbabb=abbb
abbbbb=babbb
bbbbbbb=bbbb

Right Cayley graph (truncated)

Left Cayley graph (truncated)