#20087 ⟨a, b | aab=b, abaa=bbb⟩

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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. b6 ⇒ b2
  2. ab2 ⇒ b4
  3. b5ab ⇒ bab
  4. a2b ⇒ b
  5. (ab)2 ⇒ b3ab
  6. ba2 ⇒ b5 
# ab:aab=b,abaa=bbb b/a
bbbbbb=bb
abb=bbbb
bbbbbab=bab
aab=b
abab=bbbab
baa=bbbbb

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1120108⟨a, b | aab=b, abbb=baa⟩φ(a) = a, φ(b) = b