#2073 ⟨a, b | aab=b, baba=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. b2 ⇒ b
  2. a2b ⇒ b
  3. ba2 ⇒ b
  4. bab ⇒ ba 
# ab:aab=b,baba=b ab
bb=b
aab=b
baa=b
bab=ba

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.

5 total

Σ#PresentationMapping
1112393⟨a, b | aaba=ba, baba=b⟩φ(a) = a, φ(b) = b
1118981⟨a, b | aab=b, aababa=b⟩φ(a) = a, φ(b) = b
1119029⟨a, b | aab=b, baaaba=b⟩φ(a) = a, φ(b) = b
1119545⟨a, b | aab=b, ababa=ab⟩φ(a) = a, φ(b) = b
1120129⟨a, b | aab=b, baba=aab⟩φ(a) = a, φ(b) = b