#1596 ⟨a, b | aaa=ab, bba=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 ⇒ a2 [3]
2. ab ⇒ a3 [1]
3. b2a ⇒ a [2]
# ab:aaa=ab,bba=a a/b
aaaaaa=aa
ab=aaa
bba=a

Isomorphic instances

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

6 total

Σ#PresentationMapping
1119534⟨a, b | aab=b, aabbb=ba⟩φ(a) = b, φ(b) = a
1119582⟨a, b | aab=b, baabb=ba⟩φ(a) = b, φ(b) = a
1119590⟨a, b | aab=b, babab=ba⟩φ(a) = b, φ(b) = a
1119606⟨a, b | aab=b, bbaab=ba⟩φ(a) = b, φ(b) = a
1120071⟨a, b | aab=b, aaba=bbb⟩φ(a) = b, φ(b) = a
1120106⟨a, b | aab=b, abbb=aba⟩φ(a) = b, φ(b) = a