#16551 ⟨a, b | aba=bb, bbb=aaa⟩

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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. a13 ⇒ a7
  2. ba11 ⇒ ba5
  3. a2ba9 ⇒ a2ba3
  4. a3b ⇒ ba3
  5. b2 ⇒ aba
  6. (ba)2 ⇒ a3
  7. ba2ba3 ⇒ a2ba8
  8. (ab)2 ⇒ a3
  9. (aba)2 ⇒ ba3 
# ab:aba=bb,bbb=aaa a/b
aaaaaaaaaaaaa=aaaaaaa
baaaaaaaaaaa=baaaaa
aabaaaaaaaaa=aabaaa
aaab=baaa
bb=aba
baba=aaa
baabaaa=aabaaaaaaaa
abab=aaa
abaaba=baaa

Right Cayley graph

Left Cayley graph