#22284 ⟨a, b | aaa=1, abbbab=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. b26 ⇒ b2
  2. b24ab2 ⇒ ab2
  3. ab5 ⇒ b4ab
  4. ab2ab ⇒ b21ab2
  5. ab3ab ⇒ b2
  6. ab4ab ⇒ b3ab4
  7. a2b2 ⇒ b3ab
  8. abab2 ⇒ b7(ab)2
  9. a3 ⇒ 1
  10. b2(ab)3 ⇒ b12ab3 
# ab:aaa=1,abbbab=bb reversed:b/a
bbbbbbbbbbbbbbbbbbbbbbbbbb=bb
bbbbbbbbbbbbbbbbbbbbbbbbabb=abb
abbbbb=bbbbab
abbab=bbbbbbbbbbbbbbbbbbbbbabb
abbbab=bb
abbbbab=bbbabbbb
aabb=bbbab
ababb=bbbbbbbabab
aaa=1
bbababab=bbbbbbbbbbbbabbb

Right Cayley graph (truncated)

Left Cayley graph (truncated)