#5420 ⟨a, b | aba=ab, bab=ba⟩

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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. aba ⇒ ab
  2. ab2 ⇒ ab
  3. ba2 ⇒ ba
  4. bab ⇒ ba 
# ab:aba=ab,bab=ba ab
aba=ab
abb=ab
baa=ba
bab=ba

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.

2 total

Σ#PresentationMapping
1116411⟨a, b | aba=ab, baab=ba⟩φ(a) = a, φ(b) = b
1116415⟨a, b | aba=ab, baba=ba⟩φ(a) = a, φ(b) = b