#593 ⟨a, b | aab=b, 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. ba ⇒ ab
  2. a2b ⇒ b 
# ab:aab=b,aba=b ab
ba=ab
aab=b

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.

10 total

Σ#PresentationMapping
8649⟨a, b | ba=ab, aab=b⟩φ(a) = a, φ(b) = b
8651⟨a, b | ba=ab, aba=b⟩φ(a) = a, φ(b) = b
106387⟨a, b | aab=b, aaaba=b⟩φ(a) = a, φ(b) = b
106491⟨a, b | aba=b, aaaba=b⟩φ(a) = a, φ(b) = b
106668⟨a, b | aab=b, aaab=ba⟩φ(a) = a, φ(b) = b
106671⟨a, b | aab=b, aaba=ab⟩φ(a) = a, φ(b) = b
106766⟨a, b | aba=b, aaab=ab⟩φ(a) = a, φ(b) = b
106771⟨a, b | aba=b, aaba=ba⟩φ(a) = a, φ(b) = b
106817⟨a, b | aab=b, aba=aab⟩φ(a) = a, φ(b) = b
106837⟨a, b | aba=b, baa=aba⟩φ(a) = a, φ(b) = b