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Generalized André planes of order \(p^ t\) that admit a homology group of order \((p^ t-1)/2\) - MaRDI portal

Generalized André planes of order \(p^ t\) that admit a homology group of order \((p^ t-1)/2\) (Q1184497)

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scientific article; zbMATH DE number 34673
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English
Generalized André planes of order \(p^ t\) that admit a homology group of order \((p^ t-1)/2\)
scientific article; zbMATH DE number 34673

    Statements

    Generalized André planes of order \(p^ t\) that admit a homology group of order \((p^ t-1)/2\) (English)
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    28 June 1992
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    The second author [Simon Stevin, to appear] discovered that the resolutions of a finite Minkowski plane due to Bonisoli give rise to translation planes of the type described in the title. The authors of the present article show that such translation planes are closely tied to regular nearfield planes, and they describe completely the components of such a plane. For details see the article. [Reviewer's Remark: It would have been helpful to the reader if the authors had given a better reference to the work of Bonisoli.].
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    generalized André plane
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