#1748 ⟨a, b | abaaaaaab=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. bab ⇒ ab2
  2. ba2b ⇒ a2b2
  3. ba3b ⇒ a3b2
  4. ba4b ⇒ a4b2
  5. ba5b ⇒ a5b2
  6. ba6b ⇒ a6b2
  7. a7b2 ⇒ b 
# ab:abaaaaaab=b ab
bab=abb
baab=aabb
baaab=aaabb
baaaab=aaaabb
baaaaab=aaaaabb
baaaaaab=aaaaaabb
aaaaaaabb=b

Right Cayley graph (truncated)

Left Cayley graph (truncated)