On the maximum number of fixed points in automorphisms of prime order of 2-\((v,k,\text 1)\) designs
type: Item
instance of: scholarly article
title: On the maximum number of fixed points in automorphisms of prime order of 2-\((v,k,\text 1)\) designs
zbMATH Open document ID: 0903.05012
DOI: 10.1007/BF02558477
author: D. R. Stinson
author: Donald L. Kreher
author: Li Zhu
published in: Annals of Combinatorics
publication date: 1998-08-03T00:00:00Z
review text: 2-\((v,k,1)\) designs with automorphisms of prime order \(p\), having the maximum possible number of fixed points are studied. An upper bound is obtained on the number of fixed points. The structure of designs in which the bound is met with equality (such a design is called \(p\text{-MFP} (v,k))\) is studied. Necessary and sufficient conditions on \(v\) for the existence of a \(p\text{-MFP} (v,k)\) for \(3\leq k\leq 5\) and any prime \(p\equiv 1\bmod k(k-1)\) are established.
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1160054
zbMATH Keywords: 2-design
zbMATH Keywords: automorphisms
zbMATH Keywords: fixed points
reviewed by: Kishore Sinha
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1160054