#12448 ⟨a, b | aabb=aa, bbab=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. b2ab ⇒ a
  2. (ab)2 ⇒ b2a2
  3. a2b2 ⇒ a2
  4. a3b ⇒ a3
  5. ab2a2 ⇒ a2ba
  6. aba2b ⇒ aba2
  7. b4a2 ⇒ a2b
  8. b2a2ba ⇒ aba2
  9. ab3a2 ⇒ b2a3 
# ab:aabb=aa,bbab=a ba
bbab=a
abab=bbaa
aabb=aa
aaab=aaa
abbaa=aaba
abaab=abaa
bbbbaa=aab
bbaaba=abaa
abbbaa=bbaaa

Right Cayley graph (truncated)

Left Cayley graph (truncated)