#1635 ⟨a, b | aab=ba, aba=b⟩

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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. ba3 ⇒ b
  2. ab ⇒ ba2 
# ab:aab=ba,aba=b a/b
baaa=b
ab=baa

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.

8 total

Σ#PresentationMapping
92107⟨a, b | aba=b, aaab=b⟩φ(a) = a, φ(b) = b
105161⟨a, b | aab=ba, aaab=b⟩φ(a) = a, φ(b) = b
1112495⟨a, b | abaa=ba, baaa=b⟩φ(a) = a, φ(b) = b
1119165⟨a, b | aba=b, aaaaba=b⟩φ(a) = a, φ(b) = b
1119708⟨a, b | aba=b, aaaab=ab⟩φ(a) = a, φ(b) = b
1119713⟨a, b | aba=b, aaaba=ba⟩φ(a) = a, φ(b) = b
1120256⟨a, b | aba=b, aaab=aba⟩φ(a) = a, φ(b) = b
1120266⟨a, b | aba=b, aaba=baa⟩φ(a) = a, φ(b) = b