#2071 ⟨a, b | abbaaaab=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. aca3ca4c ⇒ a2
  2. a(a4c)2 ⇒ aca3ca5
  3. cb ⇒ bc
  4. a2b ⇒ aca4c
  5. b2 ⇒ c 
# ab:abbaaaab=aa ca/b bb=c frequency:2/3
acaaacaaaac=aa
aaaaacaaaac=acaaacaaaaa
cb=bc
aab=acaaaac
bb=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)