#2016 ⟨a, b | aabbbbba=ab⟩

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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. ac2a ⇒ a2c2
  2. c3a ⇒ cac2
  3. a2(ca)5 ⇒ ac
  4. (ca)6 ⇒ c2
  5. ab ⇒ a2c
  6. cb ⇒ cac
  7. b5a ⇒ c 
# ab:aabbbbba=ab ac/b bbbbba=c frequency:6/0
acca=aacc
ccca=cacc
aacacacacaca=ac
cacacacacaca=cc
ab=aac
cb=cac
bbbbba=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)