#328 ⟨a, b | abaabbba=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. dc ⇒ cd
  2. bc ⇒ cb
  3. b2 ⇒ c
  4. cd2 ⇒ 1
  5. bd2 ⇒ d2b
  6. ba ⇒ dacdb
  7. bda ⇒ cad2bd
  8. a2 ⇒ d2bd 
# ab:abaabbba=1 cdb/a bb=c,baa=d frequency:2/0,3/0
dc=cd
bc=cb
bb=c
cdd=1
bdd=ddb
ba=dacdb
bda=caddbd
aa=ddbd

Right Cayley graph (truncated)

Left Cayley graph (truncated)