#19241 ⟨a, b | aaa=a, aaaba=ba⟩

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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 ⇒ c
  2. ba ⇒ c
  3. bc ⇒ c2
  4. a3 ⇒ a
  5. ca2 ⇒ c 
# ab:aaa=a,aaaba=ba acb ba=c frequency:2/1
ac=c
ba=c
bc=cc
aaa=a
caa=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)