#1532 ⟨a, b | abbaababba=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. db ⇒ bc
  2. dc ⇒ cd
  3. c3b ⇒ bcd2
  4. c3d2 ⇒ 1
  5. ab ⇒ c
  6. ba ⇒ d
  7. ca ⇒ ad
  8. cda ⇒ dad
  9. d2a ⇒ ac6d 
# ab:abbaababba=1 bcd/a ab=c,ba=d frequency:2/0,2/2
db=bc
dc=cd
cccb=bcdd
cccdd=1
ab=c
ba=d
ca=ad
cda=dad
dda=accccccd

Right Cayley graph (truncated)

Left Cayley graph (truncated)