#3147 ⟨a, b | aa=a, bab=abb⟩

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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. a2 ⇒ a
  2. bab ⇒ ab2 
# ab:aa=a,bab=abb ab
aa=a
bab=abb

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
109139⟨a, b | aa=a, aabb=bab⟩φ(a) = a, φ(b) = b
109167⟨a, b | aa=a, baab=abb⟩φ(a) = a, φ(b) = b
1125143⟨a, b | aa=a, aaabb=bab⟩φ(a) = a, φ(b) = b
1125223⟨a, b | aa=a, baaab=abb⟩φ(a) = a, φ(b) = b
1125693⟨a, b | aa=a, baab=aabb⟩φ(a) = a, φ(b) = b