#2623 ⟨a, b | abbaab=baba⟩

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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. cb ⇒ bd
  2. dcd ⇒ c2
  3. c3d ⇒ dc3
  4. ab ⇒ d
  5. ba ⇒ c
  6. da ⇒ ac
  7. c2a ⇒ dcac 
# ab:abbaab=baba bdc/a ba=c,ab=d frequency:2/0,2/0
cb=bd
dcd=cc
cccd=dccc
ab=d
ba=c
da=ac
cca=dcac

Right Cayley graph (truncated)

Left Cayley graph (truncated)