#12483 ⟨a, b | aabb=ba, bbbb=b⟩

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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. b4 ⇒ b
  2. bab3 ⇒ ba
  3. ba2 ⇒ b2ab
  4. a2b ⇒ bab2
  5. b(ab)2 ⇒ b(ba)2
  6. (bab)2a ⇒ b2(ab2)2
  7. (bab)3 ⇒ (b2a)3 
# ab:aabb=ba,bbbb=b reversed:b/a
bbbb=b
babbb=ba
baa=bbab
aab=babb
babab=bbaba
babbaba=bbabbabb
babbabbab=bbabbabba

Right Cayley graph (truncated)

Left Cayley graph (truncated)