#1737 ⟨a, b | aabbbbaab=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. a3bab ⇒ (aba)2
  2. (aba)2b ⇒ ab2a2ba
  3. a2b4a ⇒ ab3a2b
  4. ab2a(ab)2 ⇒ ab3a2ba
  5. ab3a(ab)2 ⇒ a 
# ab:aabbbbaab=a ba
aaabab=abaaba
abaabab=abbaaba
aabbbba=abbbaab
abbaabab=abbbaaba
abbbaabab=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)