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Some finiteness conditions for automorphism groups

Published online by Cambridge University Press:  18 May 2009

Silvana Franciosi  and
Francesco de Giovanni
Silvana Franciosi
Affiliation:
Dipartimento di Matematica “R. Caccioppoll”, Via Mezzocannone 8, 80134 Napoli, Italy
Francesco de Giovanni
Affiliation:
Dipartimento di Matematica “R. Caccioppoll”, Via Mezzocannone 8, 80134 Napoli, Italy
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Many authors have investigated the behaviour of the elements of finite order of a group G when finiteness conditions are imposed on the automorphism group Aut G of G. The first result was obtained in 1955 by Baer [1], who proved thata torsion group with finitely many automorphisms is finite. This theorem was generalized by Nagrebeckii in [6], where he proved that if the automorphism group Aut G is finite then the set of elements of finite order of G is a finite subgroup.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 2 , July 1987 , pp. 259 - 265
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

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