#9262 ⟨a, b | ab=a, aaaa=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 ⇒ a2
  2. ab ⇒ a
  3. b2a ⇒ a4 
# ab:ab=a,aaaa=bba a/b
aaaaa=aa
ab=a
bba=aaaa

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.

5 total

Σ#PresentationMapping
1125418⟨a, b | ab=a, aaaab=bba⟩φ(a) = a, φ(b) = b
1125426⟨a, b | ab=a, aaaba=bba⟩φ(a) = a, φ(b) = b
1125442⟨a, b | ab=a, aabaa=bba⟩φ(a) = a, φ(b) = b
1125474⟨a, b | ab=a, abaaa=bba⟩φ(a) = a, φ(b) = b
1125870⟨a, b | ab=a, bbab=aaaa⟩φ(a) = a, φ(b) = b