#9172 ⟨a, b | aa=a, babb=aba⟩

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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. bab2 ⇒ aba
  3. a(ba)2 ⇒ (ba)2
  4. b(ba)2 ⇒ aba 
# ab:aa=a,babb=aba ab
aa=a
babb=aba
ababa=baba
bbaba=aba

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.

3 total

Σ#PresentationMapping
1125228⟨a, b | aa=a, baabb=aba⟩φ(a) = a, φ(b) = b
1125702⟨a, b | aa=a, babb=aaba⟩φ(a) = a, φ(b) = b
1125704⟨a, b | aa=a, babb=abaa⟩φ(a) = a, φ(b) = b