#15603 ⟨a, b | aab=aa, bbbab=a⟩

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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. a2b ⇒ a2
  2. a(ba)2 ⇒ aba2
  3. abab2 ⇒ (ab)2
  4. b3a2 ⇒ ab2ab
  5. b3ab ⇒ a
  6. ab(ba)2 ⇒ ab2a2
  7. (ab2)2 ⇒ ab2ab 
# ab:aab=aa,bbbab=a ab
aab=aa
ababa=abaa
ababb=abab
bbbaa=abbab
bbbab=a
abbaba=abbaa
abbabb=abbab

Right Cayley graph (truncated)

Left Cayley graph (truncated)