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

โœ Scribed by Victor Mazurov


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
75 KB
Volume
263
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


stated that a nontrivial finite perfect group of fixed-point-free automorphisms of an abelian group is isomorphic to SL 2 (5).


๐Ÿ“œ SIMILAR VOLUMES


On Automorphism-Fixed Subgroups of a Fre
โœ A. Martino; E. Ventura ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 101 KB

Let F be a finitely generated free group, and let n denote its rank. A subgroup H of F is said to be automorphism-fixed, or auto-fixed for short, if there exists a set S of automorphisms of F such that H is precisely the set of elements fixed by every element of S; similarly, H is 1-auto-fixed if th