#6318 ⟨a, b | aab=a, aaaaa=a⟩

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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 ⇒ a
  2. ab ⇒ a4 
# ab:aab=a,aaaaa=a a/b
aaaaa=a
ab=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
106348⟨a, b | aab=a, abbbb=a⟩φ(a) = a, φ(b) = b
106599⟨a, b | aab=a, aaaa=ab⟩φ(a) = a, φ(b) = b
106626⟨a, b | aab=a, abbb=aa⟩φ(a) = a, φ(b) = b
106727⟨a, b | aba=a, aaaa=ab⟩φ(a) = a, φ(b) = b
106809⟨a, b | aab=a, abb=aaa⟩φ(a) = a, φ(b) = b