✦ LIBER ✦

Outer automorphisms of locally finite p-groups

✍ Scribed by Gábor Braun; Rüdiger Göbel

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 136 KB
Volume: 264
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00119-4

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✦ Synopsis

Every group is an outer automorphism group of a locally finite p-group. This extends an earlier result [M. Dugas, R. Göbel, On locally finite p-groups and a problem of Philip Hall's, J. Algebra 159 (1) (1993) 115-138] about countable outer automorphism groups. It is also in sharp contrast to results concerning the existence of outer automorphisms of nilpotent groups in [W. Gaschütz, Nichtabelsche

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