#1112 ⟨a, b | abaaba=aab⟩

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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. c2a ⇒ ac
  2. aba ⇒ c
  3. cba ⇒ abc
  4. a2b ⇒ c2
  5. acb ⇒ abc4
  6. cab ⇒ abc2
  7. c2b ⇒ cbc4 
# ab:abaaba=aab ac/b aba=c frequency:3/1
cca=ac
aba=c
cba=abc
aab=cc
acb=abcccc
cab=abcc
ccb=cbcccc

Right Cayley graph (truncated)

Left Cayley graph (truncated)