#2423 ⟨a, b | aaabaa=aaba⟩

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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. aca ⇒ c
  2. c2a ⇒ ac2
  3. cba ⇒ a2c2
  4. cbc ⇒ ac3
  5. a2ba ⇒ c
  6. a2bc ⇒ ac2
  7. caba ⇒ ac2
  8. cabc ⇒ c3 
# ab:aaabaa=aaba ac/b aaba=c magic:0
aca=c
cca=acc
cba=aacc
cbc=accc
aaba=c
aabc=acc
caba=acc
cabc=ccc

Right Cayley graph (truncated)

Left Cayley graph (truncated)