#6525 ⟨a, b | aba=b, bbbbb=b⟩

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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. c2 ⇒ b2
  2. cb2 ⇒ b2c
  3. b5 ⇒ b
  4. b4c ⇒ c
  5. ab ⇒ b3cb
  6. ac ⇒ b
  7. ba ⇒ c
  8. ca ⇒ b(bc)2 
# ab:aba=b,bbbbb=b bc/a ba=c frequency:2/2
cc=bb
cbb=bbc
bbbbb=b
bbbbc=c
ab=bbbcb
ac=b
ba=c
ca=bbcbc

Right Cayley graph (truncated)

Left Cayley graph (truncated)