#1580 ⟨a, b | aaaabaaaa=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. b2a4 ⇒ a4b2
  2. baba4 ⇒ a4bab
  3. ba2ba4 ⇒ a4ba2b
  4. a4ba4 ⇒ b
  5. ba3ba4 ⇒ a(a3b)2 
# ab:aaaabaaaa=b ab
bbaaaa=aaaabb
babaaaa=aaaabab
baabaaaa=aaaabaab
aaaabaaaa=b
baaabaaaa=aaaabaaab

Right Cayley graph (truncated)

Left Cayley graph (truncated)