#18832 ⟨a, b | aab=a, aaaaaa=a⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

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
#RuleProof
1. a6 ⇒ a [2]
2. ab ⇒ a5 [3]
# ab:aab=a,aaaaaa=a a/b
aaaaaa=a
ab=aaaaa

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

6 total

Σ#PresentationMapping
1118894⟨a, b | aab=a, abbbbb=a⟩φ(a) = a, φ(b) = b
1119377⟨a, b | aab=a, aaaaa=ab⟩φ(a) = a, φ(b) = b
1119436⟨a, b | aab=a, abbbb=aa⟩φ(a) = a, φ(b) = b
1119633⟨a, b | aba=a, aaaaa=ab⟩φ(a) = a, φ(b) = b
1119923⟨a, b | aab=a, aaaa=abb⟩φ(a) = a, φ(b) = b
1119976⟨a, b | aab=a, abbb=aaa⟩φ(a) = a, φ(b) = b