#19817 ⟨a, b | aaa=a, abba=abb⟩

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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. ab ⇒ c
  2. a3 ⇒ a
  3. a2c ⇒ c
  4. cba ⇒ cb
  5. cb2 ⇒ cbc 
# ab:aaa=a,abba=abb acb ab=c frequency:2/1
ab=c
aaa=a
aac=c
cba=cb
cbb=cbc

Right Cayley graph (truncated)

Left Cayley graph (truncated)