Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type (Q456373)
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scientific article; zbMATH DE number 6098377
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type |
scientific article; zbMATH DE number 6098377 |
Statements
Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type (English)
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24 October 2012
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Summary: In this paper we use Weil's estimate on character sums to prove that large admissible prime powers \(q\) admit 2-\((q,k,1)\) designs having block-transitive automorphism groups in \(\operatorname{AGL}(1, q)\).
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block-transitive automorphism groups
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Weil's theorem
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0.9350191
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0.9119637
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0.91052234
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0.90633327
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