Groups with prescribed automorphism group
Copyright policy )Groups with prescribed automorphism group
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.
- University of Illinois System United States
- University of Illinois at Urbana–Champaign United States
Automorphisms of infinite groups, symmetric groups, Automorphism groups of groups, Representations of groups as automorphism groups of algebraic systems, central automorphisms, finite completely reducible automorphism groups
Automorphisms of infinite groups, symmetric groups, Automorphism groups of groups, Representations of groups as automorphism groups of algebraic systems, central automorphisms, finite completely reducible automorphism groups
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