#9144 ⟨a, b | aa=a, abab=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. (ab)2 ⇒ aba 
# ab:aa=a,abab=aba ab
aa=a
abab=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.

4 total

Σ#PresentationMapping
1125154⟨a, b | aa=a, aabab=aba⟩φ(a) = a, φ(b) = b
1125178⟨a, b | aa=a, abaab=aba⟩φ(a) = a, φ(b) = b
1125671⟨a, b | aa=a, abab=aaba⟩φ(a) = a, φ(b) = b
1125673⟨a, b | aa=a, abab=abaa⟩φ(a) = a, φ(b) = b