Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type
type: Item
instance of: scholarly article
title: Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type
zbMATH Open document ID: 1253.05039
published in: The Electronic Journal of Combinatorics
publication date: 2012-10-24T00:00:00Z
full work available at URL: v19i3p35
review text: 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 \(\operatorname{AGL}(1, q)\).
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 6098377
zbMATH Keywords: block-transitive automorphism groups
zbMATH Keywords: Weil's theorem
MaRDI profile type: Publication
Recommended article: Block transitive \(2\)-\(( v , k , 1 )\) designs and \(\mathrm{PGL}_2(q)\) groups
Recommended article: Block transitive automorphism groups of 2-(v,k,1) block designs
Recommended article: Block-transitive 2-\((v, k, 1)\) designs and the twisted simple groups \({}^2 E_6(q)\)
Recommended article: Q3513198
Recommended article: Q3014420
Recommended article: Q3413263
Recommended article: 一类2-（v，k，1）设计的可解区传递自同构群
Recommended article: Q3011832
Recommended article: On block-transitive designs with affine automorphism group
Recommended article: Solvable block-transitive automorphism groups of \(2\)-\((v,k,1)\) designs
author: Shifeng Ding
author: Weijun Liu
description: scientific article; zbMATH DE number 6098377