Zassenhaus' theorem supersedes the Jordan-Hölder theorem

✍ Scribed by John R Isbell

Publisher: Elsevier Science
Year: 1979
Tongue: English
Weight: 196 KB
Volume: 31
Category: Article
ISSN: 0001-8708
DOI: 10.1016/0001-8708(79)90022-7

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The Jordan-Zassenhaus Theorem states that, if R is a Dedekind domain whose field Q of quotients is a global field, then for each R-order S in a semisimple algebra over Q, and for each positive integer n, there are only finitely many isomorphism classes of left S-lattices of rank ≤n. This result (whi