#1477 ⟨a, b | abaaaaabab=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. da ⇒ ad
  4. ca ⇒ ac
  5. a5 ⇒ c
  6. ba ⇒ adbc
  7. bc2 ⇒ c4bd2
  8. bd3 ⇒ d4bc
  9. b(cb)2 ⇒ a3 
# ab:abaaaaabab=1 reversed:dca/b aaaaa=c,babab=d magic:0
cd=1
dc=1
da=ad
ca=ac
aaaaa=c
ba=adbc
bcc=ccccbdd
bddd=ddddbc
bcbcb=aaa

Right Cayley graph (truncated)

Left Cayley graph (truncated)