#12517 ⟨a, b | abab=aa, bbbb=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. aba2 ⇒ a3b
  2. (ab)2 ⇒ a2
  3. b4 ⇒ b
  4. a2b3 ⇒ a2
  5. a4b2 ⇒ a3ba
  6. a3b2a2 ⇒ a4ba
  7. a3b2ab ⇒ a3ba 
# ab:abab=aa,bbbb=b ab
abaa=aaab
abab=aa
bbbb=b
aabbb=aa
aaaabb=aaaba
aaabbaa=aaaaba
aaabbab=aaaba

Right Cayley graph (truncated)

Left Cayley graph (truncated)