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The Doubly-Transitive Focal-Spreads

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Abstract

A focal-spread of order q t and type (t, k), t > k is a partition of a vector space of dimension t + k over GF(q) by a one subspace of dimension t, the ‘focus’ and a partial Sperner k-spread of degree q t. In this article, a complete classification is given of focal-spreads that admit a doubly transitive group on the partial Sperner k-space.

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Authors and Affiliations

  1. Department of Mathematics, University of Iowabr, 14 MacLean Hall, Iowa, IA, 52242, USA

    Norman Johnson

  2. Mathematics Department, University of Salento, Lecce, Italy

    Alessandro Montinaro

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  1. Norman Johnson
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  2. Alessandro Montinaro
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Correspondence to Norman Johnson.

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Johnson, N., Montinaro, A. The Doubly-Transitive Focal-Spreads. Results. Math. 62, 1–11 (2012). https://doi.org/10.1007/s00025-011-0124-y

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  • DOI: https://doi.org/10.1007/s00025-011-0124-y

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