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A Characterization of Quaternion Planes, Revisited

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Abstract

It is shown that the group PSL2(H) cannot act effectively on any eight-dimensional stable plane. Together with previous results, this entails that every eight-dimensional stable plane admitting a nontrivial action of SL2(H) embeds into the projective plane over Hamilton's quaternions H.

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Authors and Affiliations

  1. Mathamatisches Institut B, Universität Stuttgart, Pfaffenwaldring 57, 70550, Stuttgart, Germany; e-mail

    Marku Stroppel

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  1. Marku Stroppel
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Stroppel, M. A Characterization of Quaternion Planes, Revisited. Geometriae Dedicata 72, 179–187 (1998). https://doi.org/10.1023/A:1005070205553

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