#14833 ⟨a, b | abba=b, aaaaa=a⟩

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Properties

Element profile

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. b13 ⇒ b
  2. bab12 ⇒ ba
  3. b3a ⇒ ab3
  4. ab2a ⇒ b
  5. ba2 ⇒ abab2
  6. b(ba)2 ⇒ a2b
  7. a3b ⇒ b2a
  8. a(ba)2 ⇒ bab10
  9. a5 ⇒ a 
# ab:abba=b,aaaaa=a b/a
bbbbbbbbbbbbb=b
babbbbbbbbbbbb=ba
bbba=abbb
abba=b
baa=ababb
bbaba=aab
aaab=bba
ababa=babbbbbbbbbb
aaaaa=a

Right Cayley graph

Left Cayley graph