#1539 ⟨a, b | abbabbabba=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. a2 ⇒ c
  2. ca ⇒ ac
  3. cd ⇒ 1
  4. da ⇒ ad
  5. dc ⇒ 1
  6. db ⇒ cbd2
  7. c2b ⇒ bc2
  8. ab2 ⇒ b2a
  9. cb2 ⇒ b2c
  10. b6 ⇒ d2 
# ab:abbabbabba=1 acd/b aa=c,bbabbabb=d magic:0
aa=c
ca=ac
cd=1
da=ad
dc=1
db=cbdd
ccb=bcc
abb=bba
cbb=bbc
bbbbbb=dd

Right Cayley graph (truncated)

Left Cayley graph (truncated)