#19826 ⟨a, b | aaa=a, abbb=bba⟩

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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. ab21 ⇒ ab6
  2. b2a ⇒ ab3
  3. abab6 ⇒ a2b15
  4. a3 ⇒ a
  5. aba2b6 ⇒ ab12
  6. (ab)3b2 ⇒ ab3 
# ab:aaa=a,abbb=bba b/a
abbbbbbbbbbbbbbbbbbbbb=abbbbbb
bba=abbb
ababbbbbb=aabbbbbbbbbbbbbbb
aaa=a
abaabbbbbb=abbbbbbbbbbbb
abababbb=abbb

Right Cayley graph (truncated)

Left Cayley graph (truncated)