The Jordan-Hölder Theorem

Marco Riccardi

Formalized Mathematics (2007)

  • Volume: 15, Issue: 2, page 35-51
  • ISSN: 1426-2630

Abstract

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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.

How to cite

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Marco Riccardi. "The Jordan-Hölder Theorem." Formalized Mathematics 15.2 (2007): 35-51. <http://eudml.org/doc/266648>.

@article{MarcoRiccardi2007,
abstract = {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.},
author = {Marco Riccardi},
journal = {Formalized Mathematics},
language = {eng},
number = {2},
pages = {35-51},
title = {The Jordan-Hölder Theorem},
url = {http://eudml.org/doc/266648},
volume = {15},
year = {2007},
}

TY - JOUR
AU - Marco Riccardi
TI - The Jordan-Hölder Theorem
JO - Formalized Mathematics
PY - 2007
VL - 15
IS - 2
SP - 35
EP - 51
AB - 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.
LA - eng
UR - http://eudml.org/doc/266648
ER -

References

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