#586 ⟨a, b | aab=a, baa=a⟩

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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. ba ⇒ ab
  2. a2b ⇒ a 
# ab:aab=a,baa=a ab
ba=ab
aab=a

Staircase diagram

Right Cayley graph (truncated)

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

14 total

Σ#PresentationMapping
8648⟨a, b | ba=ab, aab=a⟩φ(a) = a, φ(b) = b
8650⟨a, b | ba=ab, aba=a⟩φ(a) = a, φ(b) = b
104142⟨a, b | aba=aab, baa=a⟩φ(a) = a, φ(b) = b
106352⟨a, b | aab=a, baaab=a⟩φ(a) = a, φ(b) = b
106354⟨a, b | aab=a, baaba=a⟩φ(a) = a, φ(b) = b
106358⟨a, b | aab=a, babaa=a⟩φ(a) = a, φ(b) = b
106474⟨a, b | aba=a, baaab=a⟩φ(a) = a, φ(b) = b
106612⟨a, b | aab=a, aabb=ba⟩φ(a) = a, φ(b) = b
106620⟨a, b | aab=a, abab=ba⟩φ(a) = a, φ(b) = b
106630⟨a, b | aab=a, baaa=aa⟩φ(a) = a, φ(b) = b
106635⟨a, b | aab=a, baab=ab⟩φ(a) = a, φ(b) = b
106639⟨a, b | aab=a, baba=ab⟩φ(a) = a, φ(b) = b
106743⟨a, b | aba=a, abab=ba⟩φ(a) = a, φ(b) = b
106811⟨a, b | aab=a, baa=aab⟩φ(a) = a, φ(b) = b