#19260 ⟨a, b | aaa=a, aabbb=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. ab15 ⇒ ab3
  2. bab12 ⇒ ba
  3. b2a ⇒ bab9
  4. a2b3 ⇒ ba
  5. aba ⇒ ab3
  6. ba2 ⇒ bab6
  7. a3 ⇒ a 
# ab:aaa=a,aabbb=ba b/a
abbbbbbbbbbbbbbb=abbb
babbbbbbbbbbbb=ba
bba=babbbbbbbbb
aabbb=ba
aba=abbb
baa=babbbbbb
aaa=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)