#12162 ⟨a, b | aaaa=aa, babb=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. a4 ⇒ a2
  2. a2ba2 ⇒ ba2
  3. ba3 ⇒ aba2
  4. (ba)2 ⇒ a2b2
  5. ba2ba ⇒ a3b2
  6. b2a2 ⇒ a3b2a
  7. bab2 ⇒ a
  8. a2b3a ⇒ aba2b2
  9. ba2b2a ⇒ a3
  10. a2b4 ⇒ ba2 
# ab:aaaa=aa,babb=a reversed:a/b
aaaa=aa
aabaa=baa
baaa=abaa
baba=aabb
baaba=aaabb
bbaa=aaabba
babb=a
aabbba=abaabb
baabba=aaa
aabbbb=baa

Right Cayley graph (truncated)

Left Cayley graph (truncated)