#1008 ⟨a, b | ab=a, baa=aa⟩

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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. ab ⇒ a
  2. ba2 ⇒ a2 
# ab:ab=a,baa=aa ab
ab=a
baa=aa

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.

34 total

Σ#PresentationMapping
93108⟨a, b | ab=a, baab=aa⟩φ(a) = a, φ(b) = b
93112⟨a, b | ab=a, baba=aa⟩φ(a) = a, φ(b) = b
93179⟨a, b | ab=a, baa=aab⟩φ(a) = a, φ(b) = b
93180⟨a, b | ab=a, baa=aba⟩φ(a) = a, φ(b) = b
109060⟨a, b | ab=a, baabb=aa⟩φ(a) = a, φ(b) = b
109068⟨a, b | ab=a, babab=aa⟩φ(a) = a, φ(b) = b
109072⟨a, b | ab=a, babba=aa⟩φ(a) = a, φ(b) = b
109284⟨a, b | ab=a, aabb=baa⟩φ(a) = a, φ(b) = b
109300⟨a, b | ab=a, abab=baa⟩φ(a) = a, φ(b) = b
109308⟨a, b | ab=a, abba=baa⟩φ(a) = a, φ(b) = b
109329⟨a, b | ab=a, baab=aab⟩φ(a) = a, φ(b) = b
109330⟨a, b | ab=a, baab=aba⟩φ(a) = a, φ(b) = b
109337⟨a, b | ab=a, baba=aab⟩φ(a) = a, φ(b) = b
109338⟨a, b | ab=a, baba=aba⟩φ(a) = a, φ(b) = b
1125016⟨a, b | ab=a, baabbb=aa⟩φ(a) = a, φ(b) = b
1125032⟨a, b | ab=a, bababb=aa⟩φ(a) = a, φ(b) = b
1125040⟨a, b | ab=a, babbab=aa⟩φ(a) = a, φ(b) = b
1125044⟨a, b | ab=a, babbba=aa⟩φ(a) = a, φ(b) = b
1125464⟨a, b | ab=a, aabbb=baa⟩φ(a) = a, φ(b) = b
1125496⟨a, b | ab=a, ababb=baa⟩φ(a) = a, φ(b) = b
1125512⟨a, b | ab=a, abbab=baa⟩φ(a) = a, φ(b) = b
1125520⟨a, b | ab=a, abbba=baa⟩φ(a) = a, φ(b) = b
1125557⟨a, b | ab=a, baabb=aab⟩φ(a) = a, φ(b) = b
1125558⟨a, b | ab=a, baabb=aba⟩φ(a) = a, φ(b) = b
1125573⟨a, b | ab=a, babab=aab⟩φ(a) = a, φ(b) = b
1125574⟨a, b | ab=a, babab=aba⟩φ(a) = a, φ(b) = b
1125581⟨a, b | ab=a, babba=aab⟩φ(a) = a, φ(b) = b
1125582⟨a, b | ab=a, babba=aba⟩φ(a) = a, φ(b) = b
1125831⟨a, b | ab=a, baab=aabb⟩φ(a) = a, φ(b) = b
1125833⟨a, b | ab=a, baab=abab⟩φ(a) = a, φ(b) = b
1125834⟨a, b | ab=a, baab=abba⟩φ(a) = a, φ(b) = b
1125840⟨a, b | ab=a, baba=aabb⟩φ(a) = a, φ(b) = b
1125842⟨a, b | ab=a, baba=abab⟩φ(a) = a, φ(b) = b
1125843⟨a, b | ab=a, baba=abba⟩φ(a) = a, φ(b) = b