#2343 ⟨a, b | abbaaab=aaa⟩

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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. (ac)2a3c ⇒ a3
  2. a(a3c)2 ⇒ (ac)2a5
  3. cb ⇒ bc
  4. a3b ⇒ aca3c
  5. b2 ⇒ c 
# ab:abbaaab=aaa ca/b bb=c frequency:2/3
acacaaac=aaa
aaaacaaac=acacaaaaa
cb=bc
aaab=acaaac
bb=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)