#1536 ⟨a, b | abbababaab=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. d3a ⇒ ac2
  4. ca ⇒ d2ad2
  5. d2b ⇒ bc3
  6. cb ⇒ dbd3
  7. adb ⇒ 1
  8. ba ⇒ c 
# ab:abbababaab=1 d/c/ab ba=c,bccca=d frequency:2/0,5/4
cd=1
dc=1
ddda=acc
ca=ddadd
ddb=bccc
cb=dbddd
adb=1
ba=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)