# The Jordan-Hölder Theorem

Formalized Mathematics (2007)

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

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topMarco 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 -

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