#1514 ⟨a, b | abababbaab=1⟩

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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. dc ⇒ cd
  2. c3d ⇒ 1
  3. ac ⇒ c2dad
  4. ad4 ⇒ c3a
  5. bd ⇒ c12b
  6. bc ⇒ c2d2b
  7. ba ⇒ c2d2
  8. ab ⇒ c 
# ab:abababbaab=1 reversed:dc/ab ab=c,bac=d frequency:2/0,3/3
dc=cd
cccd=1
ac=ccdad
adddd=ccca
bd=ccccccccccccb
bc=ccddb
ba=ccdd
ab=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)