#7088 ⟨a, b | ab=aa, baaa=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. ba3 ⇒ ba
  3. a5 ⇒ a3 
# ab:ab=aa,baaa=ba ab
ab=aa
baaa=ba
aaaaa=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
107092⟨a, b | ab=aa, baab=ba⟩φ(a) = a, φ(b) = b
107096⟨a, b | ab=aa, baba=ba⟩φ(a) = a, φ(b) = b
107100⟨a, b | ab=aa, babb=ba⟩φ(a) = a, φ(b) = b