Email Gateway (Aug 19 2022 at 16:05): Email Gateway (Aug 19 2022 at 16:05):From: Tobias Nipkow <nipkow@in.tum.de>
The Jordan-Hölder Theorem
Jakob von Raumer
This submission contains theories that lead to a formalization of the proof of
the Jordan-Hölder theorem about composition series of finite groups. The
theories formalize the notions of isomorphism classes of groups, simple groups,
normal series, composition series, maximal normal subgroups. Furthermore, they
provide proofs of the second isomorphism theorem for groups, the
characterization theorem for maximal normal subgroups as well as many useful
lemmas about normal subgroups and factor groups. The proof is inspired by course
notes of Stuart Rankin.
http://afp.sourceforge.net/entries/Jordan_Hoelder.shtml
Enjoy!
Last updated: Nov 21 2024 at 12:39 UTC