#1909 ⟨a, b | aaabbaaa=ab⟩

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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. caca3 ⇒ (a2c)2
  2. c2a4ca3 ⇒ a2ca4cac
  3. a(aca3)2 ⇒ c
  4. ab ⇒ a2ca3
  5. cb ⇒ (a2c)2 
# ab:aaabbaaa=ab ac/b abb=c frequency:3/0
cacaaa=aacaac
ccaaaacaaa=aacaaaacac
aacaaaacaaa=c
ab=aacaaa
cb=aacaac

Right Cayley graph (truncated)

Left Cayley graph (truncated)