Una demostración del teorema de Cayley para grupos

Irene Edith Nuñez Rodriguez

Research output: Contribution to journalArticle (Contribution to Journal)peer-review

Abstract

In this work, we will prove Cayley theorem, using category theory. We will see a different proof than theone seen in a Group Theory course, in this case we will use a famous result in category theory called theYoneda lemma and then, to relate groups with such lemma we will take advantage of the fact that everygroup can be viewed as a category. This proof shows that Yoneda lemma is an extensive generalization ofCayley theorem for groups.
Original languageSpanish (Peru)
Pages (from-to)93 - 99
JournalSelecciones Matemáticas
Volume8
StatePublished - 23 Apr 2021

Keywords

  • Categories
  • Functor
  • Natural transformation
  • Yoneda's Lemma
  • Cayley's Theorem

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