Flag-transitive point-quasiprimitive 2-\((v,\, k,\, 2)\) designs
type: Item
instance of: scholarly article
title: Flag-transitive point-quasiprimitive 2-\((v,\, k,\, 2)\) designs
zbMATH Open document ID: 1394.05011
author: Zhilin Zhang
author: Shenglin Zhou
published in: Designs, Codes and Cryptography
publication date: 2018-07-13T00:00:00Z
review text: The main result of this paper is the following: Let \(\mathcal{D}\) be a 2-\((v,\, k,\, 2)\) design which admits a flag-transitive, point-quasiprimitive automorphism group \(G\). Then \(G\) is of holomorph affine or almost simple type. Another result asserts that if \(\mathcal{D}\) is a 2-\((v,\, k,\, 2\)) design which admits a flag-transitive automorphism group \(G\), then \(G\) is primitive if and only if it is quasiprimitive.
reviewed by: Ioan Tomescu
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 6903516
zbMATH Keywords: 2-design
zbMATH Keywords: automorphism group
zbMATH Keywords: quasiprimitive group
zbMATH Keywords: flag-transitive
MaRDI profile type: Publication
full work available at URL: s10623-017-0432-7
OpenAlex ID: W2765873368
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DOI: 10.1007/S10623-017-0432-7
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description: scientific article; zbMATH DE number 6903516