#5399 ⟨a, b | aab=ba, bab=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. ba ⇒ ab
  2. a2b ⇒ ab
  3. ab2 ⇒ ab 
# ab:aab=ba,bab=ab ab
ba=ab
aab=ab
abb=ab

Staircase diagram

Right Cayley graph (truncated)

Other isomorphic instances

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

7 total

Σ#PresentationMapping
105403⟨a, b | aab=ba, bba=ab⟩φ(a) = a, φ(b) = b
1116222⟨a, b | aab=ba, aabb=ab⟩φ(a) = a, φ(b) = b
1116246⟨a, b | aab=ba, baab=ab⟩φ(a) = a, φ(b) = b
1116250⟨a, b | aab=ba, baba=ab⟩φ(a) = a, φ(b) = b
1116258⟨a, b | aab=ba, bbaa=ab⟩φ(a) = a, φ(b) = b
1116395⟨a, b | aba=ab, abab=ba⟩φ(a) = a, φ(b) = b
1116399⟨a, b | aba=ab, abba=ba⟩φ(a) = a, φ(b) = b