#815 ⟨a, b | aabbaaba=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. a2b2a2ba ⇒ b
  2. (a2b2)2 ⇒ bab2a2ba
  3. a2b2a4b3 ⇒ b3(a2ba)2
  4. bab2(a2ba)2 ⇒ a2b3
  5. bab2a2ba3b2 ⇒ a2b3ab2a2ba
  6. bab2a2ba5b3 ⇒ a2b5(a2ba)2 
# ab:aabbaaba=b reversed:ab
aabbaaba=b
aabbaabb=babbaaba
aabbaaaabbb=bbbaabaaaba
babbaabaaaba=aabbb
babbaabaaabb=aabbbabbaaba
babbaabaaaaabbb=aabbbbbaabaaaba

Right Cayley graph (truncated)

Left Cayley graph (truncated)