#8776 ⟨a, b | ab=a, baaaaa=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 ⇒ a
  2. ba ⇒ a
  3. a5 ⇒ a 
# ab:ab=a,baaaaa=a ab
ab=a
ba=a
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.

6 total

Σ#PresentationMapping
1124462⟨a, b | ab=a, baaaaab=a⟩φ(a) = a, φ(b) = b
1124464⟨a, b | ab=a, baaaaba=a⟩φ(a) = a, φ(b) = b
1124468⟨a, b | ab=a, baaabaa=a⟩φ(a) = a, φ(b) = b
1124476⟨a, b | ab=a, baabaaa=a⟩φ(a) = a, φ(b) = b
1124492⟨a, b | ab=a, babaaaa=a⟩φ(a) = a, φ(b) = b
1124989⟨a, b | ab=a, baaaaa=ab⟩φ(a) = a, φ(b) = b