#20860 ⟨a, b | ba=ab, aaabb=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. a3b2 ⇒ ab 
# ab:ba=ab,aaabb=ab ab
ba=ab
aaabb=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.

9 total

Σ#PresentationMapping
1120861⟨a, b | ba=ab, aaabb=ba⟩φ(a) = a, φ(b) = b
1120867⟨a, b | ba=ab, aabab=ab⟩φ(a) = a, φ(b) = b
1120868⟨a, b | ba=ab, aabab=ba⟩φ(a) = a, φ(b) = b
1120871⟨a, b | ba=ab, aabba=ab⟩φ(a) = a, φ(b) = b
1120872⟨a, b | ba=ab, aabba=ba⟩φ(a) = a, φ(b) = b
1120875⟨a, b | ba=ab, abaab=ab⟩φ(a) = a, φ(b) = b
1120876⟨a, b | ba=ab, abaab=ba⟩φ(a) = a, φ(b) = b
1120879⟨a, b | ba=ab, ababa=ab⟩φ(a) = a, φ(b) = b
1120882⟨a, b | ba=ab, abbba=ab⟩φ(a) = b, φ(b) = a