#2006 ⟨a, b | aabbbaba=ba⟩

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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. a2bc2 ⇒ c
  2. b2a ⇒ c
  3. b2c ⇒ cabc2
  4. a2bcba ⇒ ba
  5. a2(bc)2 ⇒ bc
  6. cabcba ⇒ bc
  7. ca(bc)2 ⇒ bcabc2 
# ab:aabbbaba=ba ac/b bba=c frequency:3/0
aabcc=c
bba=c
bbc=cabcc
aabcba=ba
aabcbc=bc
cabcba=bc
cabcbc=bcabcc

Right Cayley graph (truncated)

Left Cayley graph (truncated)