#323 ⟨a, b | abaaabab=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. cd ⇒ 1
  2. dc ⇒ 1
  3. ca ⇒ ac
  4. da ⇒ ad
  5. db ⇒ cbd2
  6. c2b ⇒ bc2
  7. ba ⇒ acbd
  8. a3 ⇒ c
  9. b(cb)2 ⇒ a 
# ab:abaaabab=1 cd/ab aaa=c,babab=d magic:0
cd=1
dc=1
ca=ac
da=ad
db=cbdd
ccb=bcc
ba=acbd
aaa=c
bcbcb=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)