#1800 ⟨a, b | abbaaaaab=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. ab3 ⇒ b2ab
  2. ab2ab ⇒ b2a2b
  3. ab2a2b ⇒ b2a3b
  4. ab2a3b ⇒ b2a4b
  5. ab2a4b ⇒ b2a5b
  6. ab2a5b ⇒ b 
# ab:abbaaaaab=b ba
abbb=bbab
abbab=bbaab
abbaab=bbaaab
abbaaab=bbaaaab
abbaaaab=bbaaaaab
abbaaaaab=b

Right Cayley graph (truncated)

Left Cayley graph (truncated)