#20990 ⟨a, b | ab=aa, baaa=bba⟩

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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. a5 ⇒ a4
  2. ab ⇒ a2
  3. b2a ⇒ ba3 
# ab:ab=aa,baaa=bba a/b
aaaaa=aaaa
ab=aa
bba=baaa

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
1120998⟨a, b | ab=aa, baab=bba⟩φ(a) = a, φ(b) = b
1121006⟨a, b | ab=aa, baba=bba⟩φ(a) = a, φ(b) = b
1121014⟨a, b | ab=aa, babb=bba⟩φ(a) = a, φ(b) = b