#13185 ⟨a, b | abb=aaa, bab=bb⟩

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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. a6 ⇒ a5
  2. a4b ⇒ a3b
  3. a3ba ⇒ a3b
  4. aba3 ⇒ a3b
  5. ab2 ⇒ a3
  6. bab ⇒ b2
  7. b2a3 ⇒ ba3b
  8. b3 ⇒ ba3 
# ab:abb=aaa,bab=bb reversed:a/b
aaaaaa=aaaaa
aaaab=aaab
aaaba=aaab
abaaa=aaab
abb=aaa
bab=bb
bbaaa=baaab
bbb=baaa

Right Cayley graph (truncated)

Left Cayley graph (truncated)