#1515 ⟨a, b | abababbaba=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. da ⇒ cac6
  4. c2a ⇒ ad
  5. db ⇒ bc2
  6. c3b ⇒ bcd
  7. ab ⇒ c
  8. bca ⇒ d 
# ab:abababbaba=1 cd/ab ab=c,bca=d frequency:2/0,3/0
dc=cd
cccd=1
da=cacccccc
cca=ad
db=bcc
cccb=bcd
ab=c
bca=d

Right Cayley graph (truncated)

Left Cayley graph (truncated)