#4187 ⟨a, b | bab=aaa, bbb=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. a13 ⇒ a5
  2. aba4 ⇒ ba7
  3. a3ba3 ⇒ ba4
  4. a4b ⇒ ba4
  5. b2a3 ⇒ a3
  6. bab ⇒ a3
  7. a3b2 ⇒ a3
  8. b3 ⇒ b 
# ab:bab=aaa,bbb=b a/b
aaaaaaaaaaaaa=aaaaa
abaaaa=baaaaaaa
aaabaaa=baaaa
aaaab=baaaa
bbaaa=aaa
bab=aaa
aaabb=aaa
bbb=b

Right Cayley graph (truncated)

Left Cayley graph (truncated)