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Embedding a non-embeddable stable plane
Authors:Markus Stroppel
Institution:(1) Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstr. 7, D-6100 Darmstadt, Germany
Abstract:In 4], K. Strambach describes a 2-dimensional stable plane Ropf admitting Sgr=SL2Ropf as a group of automorphisms such that there exists no Sgr-equivarient embedding into a 2-dimensional projective plane. R. Löwen 3] has given a 4-dimensional analogue Copf, admitting Delta=SL2Copf. He posed the question whether there are embeddings of Strambach's plane Ropf into Copf. We show that such embeddings exist, in fact we determine all Sgr-equivariant embeddings of 2-dimensional stable planes admitting Sgr as atransitive group of automorphisms.
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