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Groups that are Almost Homogeneous
Authors:Helmut Mäurer  Markus Stroppel
Affiliation:(1) Fachbereich Mathematik der TH, Schlo"Bgr"gartenstr. 7, D-64289 Darmstadt, Germany;(2) Mathematisches Institut B/1, Universität Stuttgart, Germany, D-70550 Stuttgart, Germany
Abstract:We classify those groups whose automorphism group has at most three orbits. In other words, we classify those groups whose holomorph is a rank 3 permutation group.
Keywords:automorphisms of groups  Heisenberg groups  quaternion groups  Suzuki 2-groups.
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