#2270 ⟨a, b | aabbbaa=aab⟩

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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. cb ⇒ c2
  2. a2b ⇒ a2c
  3. cab ⇒ cac
  4. b3a2 ⇒ c
  5. c4a2 ⇒ c2
  6. a2c3a2 ⇒ a2c
  7. cac3a2 ⇒ cac 
# ab:aabbbaa=aab acb bbbaa=c frequency:5/0
cb=cc
aab=aac
cab=cac
bbbaa=c
ccccaa=cc
aacccaa=aac
cacccaa=cac

Right Cayley graph (truncated)

Left Cayley graph (truncated)