#19844 ⟨a, b | aaa=a, bbbb=aba⟩

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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. b21 ⇒ b6
  2. bab5 ⇒ ab9
  3. b4ab4 ⇒ ab5
  4. b5a ⇒ ab5
  5. a2b4 ⇒ b4
  6. aba ⇒ b4
  7. b4a2 ⇒ b4
  8. a3 ⇒ a 
# ab:aaa=a,bbbb=aba b/a
bbbbbbbbbbbbbbbbbbbbb=bbbbbb
babbbbb=abbbbbbbbb
bbbbabbbb=abbbbb
bbbbba=abbbbb
aabbbb=bbbb
aba=bbbb
bbbbaa=bbbb
aaa=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)