#1546 ⟨a, b | abbbbbbbba=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. a2 ⇒ c
  2. ca ⇒ ac
  3. cb ⇒ bc
  4. cd ⇒ 1
  5. da ⇒ ad
  6. db ⇒ bd
  7. dc ⇒ 1
  8. b8 ⇒ d 
# ab:abbbbbbbba=1 abcd aa=c,bbbbbbbb=d magic:0
aa=c
ca=ac
cb=bc
cd=1
da=ad
db=bd
dc=1
bbbbbbbb=d

Right Cayley graph (truncated)

Left Cayley graph (truncated)