#12559 ⟨a, b | abba=aa, baab=b⟩

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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. aba3 ⇒ a2
  2. a2ba ⇒ aba2
  3. b2a ⇒ ba3
  4. baba2 ⇒ ba
  5. ba2b ⇒ b
  6. ba4b ⇒ b2
  7. ab2 ⇒ a3b
  8. b3 ⇒ ba6b 
# ab:abba=aa,baab=b a/b
abaaa=aa
aaba=abaa
bba=baaa
babaa=ba
baab=b
baaaab=bb
abb=aaab
bbb=baaaaaab

Right Cayley graph (truncated)

Left Cayley graph (truncated)