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Groups with prescribed automorphism group

Published online by Cambridge University Press:  20 January 2009

Derek J. S. Robinson
Derek J. S. Robinson
Affiliation:
Department of Mathematics, University of Illinois, Urbana Illinois 61801, U.S.A.
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We are concerned here with question: to what extent can the structure of a group G be recaptured from information about the structure of its group of automorphismsAut G? For example, one might try to find all groups which have some specific group astheir (full) automorphism group, a point of view adopted by Iyer in a recent paper [5]. Nothing is known about this question in general except the result of Nagrebeckü [7] that there are only finitely many finite groups with a given group as automorphismgroup.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 25 , Issue 3 , October 1982 , pp. 217 - 227
Copyright
Copyright © Edinburgh Mathematical Society 1982

References

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