#12477 ⟨a, b | aabb=ba, baaa=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. b7 ⇒ b
  2. bab3 ⇒ b4a
  3. ba2 ⇒ b5ab
  4. (ba)2 ⇒ b3
  5. bab2a ⇒ b3ab2
  6. a2b ⇒ b4ab2 
# ab:aabb=ba,baaa=b reversed:b/a
bbbbbbb=b
babbb=bbbba
baa=bbbbbab
baba=bbb
babba=bbbabb
aab=bbbbabb

Right Cayley graph (truncated)

Left Cayley graph (truncated)