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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

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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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