#1416 ⟨a, b | aababaaaba=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. ac ⇒ ca
  2. dc ⇒ 1
  3. ad ⇒ da
  4. cd ⇒ 1
  5. a3 ⇒ c
  6. bc ⇒ a2ba
  7. bd ⇒ d2a2ba
  8. ba2 ⇒ a2b
  9. b(ab)2 ⇒ d2a 
# ab:aababaaaba=1 reversed:acd/b aaa=c,baaabab=d magic:0
ac=ca
dc=1
ad=da
cd=1
aaa=c
bc=aaba
bd=ddaaba
baa=aab
babab=dda

Right Cayley graph (truncated)

Left Cayley graph (truncated)