#19797 ⟨a, b | aaa=a, aaba=bbb⟩

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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. b8 ⇒ b4
  2. b3ab3 ⇒ b4
  3. b4a ⇒ b6
  4. a2b3 ⇒ b3
  5. aba ⇒ ab3
  6. b3a2 ⇒ b3
  7. a3 ⇒ a 
# ab:aaa=a,aaba=bbb b/a
bbbbbbbb=bbbb
bbbabbb=bbbb
bbbba=bbbbbb
aabbb=bbb
aba=abbb
bbbaa=bbb
aaa=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)