#5274 ⟨a, b | aba=bb, 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. b10 ⇒ b4
  2. bab9 ⇒ bab3
  3. b3a ⇒ ab3
  4. a2b4 ⇒ bab8
  5. aba ⇒ b2
  6. ab2ab3 ⇒ b2ab5
  7. ba2b3 ⇒ b2ab7
  8. b2a2b2 ⇒ ab3
  9. a3b2 ⇒ b2
  10. b2a3 ⇒ b2
  11. a4 ⇒ a 
# ab:aba=bb,aaaa=a b/a
bbbbbbbbbb=bbbb
babbbbbbbbb=babbb
bbba=abbb
aabbbb=babbbbbbbb
aba=bb
abbabbb=bbabbbbb
baabbb=bbabbbbbbb
bbaabb=abbb
aaabb=bb
bbaaa=bb
aaaa=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)