#13099 ⟨a, b | bab=aaa, bbbb=b⟩

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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. a29 ⇒ a5
  2. aba28 ⇒ aba4
  3. a4b ⇒ ba4
  4. b2a5 ⇒ aba26
  5. bab ⇒ a3
  6. ba2ba4 ⇒ a3ba7
  7. ab2a4 ⇒ a2ba25
  8. aba3ba4 ⇒ ba3ba11
  9. a3b2a3 ⇒ ba4
  10. b3a3 ⇒ a3
  11. b2a3ba4 ⇒ a2ba25
  12. a3b3 ⇒ a3
  13. b4 ⇒ b 
# ab:bab=aaa,bbbb=b a/b
aaaaaaaaaaaaaaaaaaaaaaaaaaaaa=aaaaa
abaaaaaaaaaaaaaaaaaaaaaaaaaaaa=abaaaa
aaaab=baaaa
bbaaaaa=abaaaaaaaaaaaaaaaaaaaaaaaaaa
bab=aaa
baabaaaa=aaabaaaaaaa
abbaaaa=aabaaaaaaaaaaaaaaaaaaaaaaaaa
abaaabaaaa=baaabaaaaaaaaaaa
aaabbaaa=baaaa
bbbaaa=aaa
bbaaabaaaa=aabaaaaaaaaaaaaaaaaaaaaaaaaa
aaabbb=aaa
bbbb=b

Right Cayley graph (truncated)

Left Cayley graph (truncated)