#21071 ⟨a, b | ba=ab, aabb=aab⟩

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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. a2b2 ⇒ a2b 
# ab:ba=ab,aabb=aab ab
ba=ab
aabb=aab

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.

9 total

Σ#PresentationMapping
1121072⟨a, b | ba=ab, aabb=aba⟩φ(a) = a, φ(b) = b
1121073⟨a, b | ba=ab, aabb=baa⟩φ(a) = a, φ(b) = b
1121075⟨a, b | ba=ab, abab=aab⟩φ(a) = a, φ(b) = b
1121076⟨a, b | ba=ab, abab=aba⟩φ(a) = a, φ(b) = b
1121077⟨a, b | ba=ab, abab=baa⟩φ(a) = a, φ(b) = b
1121079⟨a, b | ba=ab, abba=aab⟩φ(a) = a, φ(b) = b
1121080⟨a, b | ba=ab, abba=aba⟩φ(a) = a, φ(b) = b
1121081⟨a, b | ba=ab, abba=abb⟩φ(a) = b, φ(b) = a
1121082⟨a, b | ba=ab, abba=bab⟩φ(a) = b, φ(b) = a