#1709 ⟨a, b | aabbaaaab=a⟩

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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. a6ca4c ⇒ (a2ca3)2
  2. a(aca4)2c ⇒ a
  3. cb ⇒ bc
  4. ab ⇒ a2ca4c
  5. b2 ⇒ c 
# ab:aabbaaaab=a ca/b bb=c frequency:2/3
aaaaaacaaaac=aacaaaaacaaa
aacaaaaacaaaac=a
cb=bc
ab=aacaaaac
bb=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)