#13064 ⟨a, b | baa=abb, aaaa=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. ab2 ⇒ ba2
  2. a4 ⇒ a
  3. a2ba ⇒ b2a2
  4. b(ba)2 ⇒ aba3
  5. b5a ⇒ (ab)2a2
  6. a(ba)3 ⇒ (ba)3a 
# ab:baa=abb,aaaa=a reversed:ab
abb=baa
aaaa=a
aaba=bbaa
bbaba=abaaa
bbbbba=ababaa
abababa=bababaa

Right Cayley graph (truncated)

Left Cayley graph (truncated)