#22850 ⟨a, b | aaa=1, babbb=bba⟩

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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. b28 ⇒ b2
  2. b2a ⇒ bab3
  3. a3 ⇒ 1
  4. (ba)3b2 ⇒ b15 
# ab:aaa=1,babbb=bba b/a
bbbbbbbbbbbbbbbbbbbbbbbbbbbb=bb
bba=babbb
aaa=1
babababb=bbbbbbbbbbbbbbb

Right Cayley graph (truncated)

Left Cayley graph (truncated)