#833 ⟨a, b | abaaaaba=a⟩

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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. aba ⇒ c
  2. cba ⇒ abc
  3. a2bc ⇒ abca
  4. acbc ⇒ abc2
  5. cabc ⇒ cbca
  6. ca3 ⇒ a3c
  7. ca2c ⇒ a
  8. c2bc ⇒ cbc2 
# ab:abaaaaba=a bac aba=c frequency:3/1
aba=c
cba=abc
aabc=abca
acbc=abcc
cabc=cbca
caaa=aaac
caac=a
ccbc=cbcc

Right Cayley graph (truncated)

Left Cayley graph (truncated)