#20859 ⟨a, b | ba=ab, aaabb=aa⟩

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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. a3b2 ⇒ a2 
# ab:ba=ab,aaabb=aa ab
ba=ab
aaabb=aa

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.

5 total

Σ#PresentationMapping
1120866⟨a, b | ba=ab, aabab=aa⟩φ(a) = a, φ(b) = b
1120870⟨a, b | ba=ab, aabba=aa⟩φ(a) = a, φ(b) = b
1120874⟨a, b | ba=ab, abaab=aa⟩φ(a) = a, φ(b) = b
1120878⟨a, b | ba=ab, ababa=aa⟩φ(a) = a, φ(b) = b
1120883⟨a, b | ba=ab, abbba=bb⟩φ(a) = b, φ(b) = a