#2257 ⟨a, b | aabbaab=baa⟩

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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. d2b ⇒ bd
  2. cbdb ⇒ d
  3. bc ⇒ cbd
  4. dc ⇒ cd4
  5. d2a ⇒ b2ac
  6. ca ⇒ ac
  7. cbda ⇒ bac
  8. a2 ⇒ c 
# ab:aabbaab=baa bd/c/a aa=c,bcb=d frequency:2/0,3/1
ddb=bd
cbdb=d
bc=cbd
dc=cdddd
dda=bbac
ca=ac
cbda=bac
aa=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)