#22264 ⟨a, b | aaa=1, ababab=bb⟩

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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. b8 ⇒ b4
  2. bab7 ⇒ bab3
  3. b2ab ⇒ ab3
  4. ba2b2 ⇒ abab3
  5. b(ab)2 ⇒ a2b2
  6. a3 ⇒ 1
  7. ba2bab3 ⇒ a2bab6 
# ab:aaa=1,ababab=bb b/a
bbbbbbbb=bbbb
babbbbbbb=babbb
bbab=abbb
baabb=ababbb
babab=aabb
aaa=1
baababbb=aababbbbbb

Right Cayley graph (truncated)

Left Cayley graph (truncated)