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.
@article{bwmeta1.element.doi-10_2478_v10037-007-0005-8,
author = {Marco Riccardi},
title = {The Jordan-H\"older Theorem},
journal = {Formalized Mathematics},
volume = {15},
year = {2007},
pages = {35-51},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-007-0005-8}
}
Marco Riccardi. The Jordan-Hölder Theorem. Formalized Mathematics, Tome 15 (2007) pp. 35-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-007-0005-8/
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