#2264 ⟨a, b | ba=ab, aab=ab⟩

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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 ⇒ ab 
# ab:ba=ab,aab=ab ab
ba=ab
aab=ab

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.

4 total

Σ#PresentationMapping
92265⟨a, b | ba=ab, aab=ba⟩φ(a) = a, φ(b) = b
92268⟨a, b | ba=ab, aba=ab⟩φ(a) = a, φ(b) = b
1116151⟨a, b | aab=ab, aaab=ba⟩φ(a) = a, φ(b) = b
1116391⟨a, b | aba=ab, abaa=ba⟩φ(a) = a, φ(b) = b