In this, I can't find the results in German as proof steps of Lemma 3 (... by Satz 88 [2, p. 72]) and Theorem 7 in page 123 (... Using results about division subalgebras of division algebras [1, p. 42, Satz 3] ... ). Can you tell me about these? How his results have been extended to now? Has the hope at the end of your article been fulfilled?
2026-02-23 10:05:13.1771841113
A question to Finite Multiplicative subgroups in a division ring of I. N. Herstein
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In 1955, S. A. Amitsur completely classified what types of finite subgroups of the multiplicative group of a division ring exist.
In this paper, he disproves Herstein’s conjecture.
A nice exposition by Lam exists which I will also recommend