The Jordan-Hölder Theorem

• Autorzy: Marco Riccardi
• Języki publikacji: EN

Abstrakty

EN

The goal of this article is to formalize the Jordan-Hölder theorem in the context of group with operators as in the book [5]. Accordingly, the article introduces the structure of group with operators and reformulates some theorems on a group already present in the Mizar Mathematical Library. Next, the article formalizes the Zassenhaus butterfly lemma and the Schreier refinement theorem, and defines the composition series.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2007
• Tom: 15
• Numer: 2
• Strony: 35-51

Daty

wydano

2007-01-01

online

2008-06-09

Twórcy

autor

Marco Riccardi

• Casella Postale 49 54038 Montignoso, Italy

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Identyfikatory

DOI

10.2478/v10037-007-0005-8