#2078 ⟨a, b | abbabaab=aa⟩

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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. cab ⇒ bac
  2. a3b ⇒ abca2c
  3. c2a2b ⇒ ba2
  4. a2ca2b ⇒ abca3
  5. bab ⇒ c
  6. abca2b ⇒ a2 
# ab:abbabaab=aa ac/b bab=c frequency:3/0
cab=bac
aaab=abcaac
ccaab=baa
aacaab=abcaaa
bab=c
abcaab=aa

Right Cayley graph (truncated)

Left Cayley graph (truncated)