#7056 ⟨a, b | ab=aa, aaaa=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. a5 ⇒ a3
  2. ba ⇒ a4
  3. ab ⇒ a2 
# ab:ab=aa,aaaa=ba a/b
aaaaa=aaa
ba=aaaa
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.

7 total

Σ#PresentationMapping
107060⟨a, b | ab=aa, aaab=ba⟩φ(a) = a, φ(b) = b
107064⟨a, b | ab=aa, aaba=ba⟩φ(a) = a, φ(b) = b
107068⟨a, b | ab=aa, aabb=ba⟩φ(a) = a, φ(b) = b
107072⟨a, b | ab=aa, abaa=ba⟩φ(a) = a, φ(b) = b
107076⟨a, b | ab=aa, abab=ba⟩φ(a) = a, φ(b) = b
107080⟨a, b | ab=aa, abba=ba⟩φ(a) = a, φ(b) = b
107084⟨a, b | ab=aa, abbb=ba⟩φ(a) = a, φ(b) = b