#16061 ⟨a, b | aaa=bb, abab=ab⟩

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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. b9 ⇒ b4
  2. ab4 ⇒ b8
  3. bab3 ⇒ b3
  4. b2a ⇒ ab2
  5. (ab)2 ⇒ ab
  6. a3 ⇒ b2
  7. aba2b2 ⇒ a2b2 
# ab:aaa=bb,abab=ab b/a
bbbbbbbbb=bbbb
abbbb=bbbbbbbb
babbb=bbb
bba=abb
abab=ab
aaa=bb
abaabb=aabb

Right Cayley graph (truncated)

Left Cayley graph (truncated)