#6982 ⟨a, b | ab=aa, baaaa=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. ab ⇒ a2
  2. ba ⇒ a2
  3. a5 ⇒ a 
# ab:ab=aa,baaaa=a ab
ab=aa
ba=aa
aaaaa=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.

7 total

Σ#PresentationMapping
106984⟨a, b | ab=aa, baaab=a⟩φ(a) = a, φ(b) = b
106986⟨a, b | ab=aa, baaba=a⟩φ(a) = a, φ(b) = b
106988⟨a, b | ab=aa, baabb=a⟩φ(a) = a, φ(b) = b
106990⟨a, b | ab=aa, babaa=a⟩φ(a) = a, φ(b) = b
106992⟨a, b | ab=aa, babab=a⟩φ(a) = a, φ(b) = b
106994⟨a, b | ab=aa, babba=a⟩φ(a) = a, φ(b) = b
106996⟨a, b | ab=aa, babbb=a⟩φ(a) = a, φ(b) = b