A new proof of Zassenhaus theorem on finite groups of fixed-point-free automorphisms

摘要

In 1935 H. Zassenhaus [Abh. Math. Semin. Hamb. Univ. 11 (1935) 187-220] stated that a nontrivial finite perfect group of fixed-point-free automorphisms of an abelian group is isomorphic to SL2 (5) : The paper contains a character-free proof of this theorem. (C) 2003 Elsevier Science (USA). All rights reserved. [References: 8]