#20818 ⟨a, b | ab=aa, bbaaa=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. ab ⇒ a2
  2. b2a ⇒ ba2
  3. ba4 ⇒ ba
  4. a6 ⇒ a3 
# ab:ab=aa,bbaaa=ba ab
ab=aa
bba=baa
baaaa=ba
aaaaaa=aaa

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
1120822⟨a, b | ab=aa, bbaab=ba⟩φ(a) = a, φ(b) = b
1120826⟨a, b | ab=aa, bbaba=ba⟩φ(a) = a, φ(b) = b
1120830⟨a, b | ab=aa, bbabb=ba⟩φ(a) = a, φ(b) = b