#2230 ⟨a, b | ab=aa, aaa=ba⟩

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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. a4 ⇒ a3
  2. ba ⇒ a3
  3. ab ⇒ a2 
# ab:ab=aa,aaa=ba a/b
aaaa=aaa
ba=aaa
ab=aa

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

3 total

Σ#PresentationMapping
92234⟨a, b | ab=aa, aab=ba⟩φ(a) = a, φ(b) = b
92238⟨a, b | ab=aa, aba=ba⟩φ(a) = a, φ(b) = b
92242⟨a, b | ab=aa, abb=ba⟩φ(a) = a, φ(b) = b