Hadamard difference sets in groups of order 64
type: Item
instance of: scholarly article
title: Hadamard difference sets in groups of order 64
zbMATH Open document ID: 0743.05008
DOI: 10.1016/0097-3165(89)90087-3
author: David Gluck
published in: Journal of Combinatorial Theory. Series A
publication date: 1992-06-25T00:00:00Z
review text: We determine the groups \(G\) of order 64 which contain 4 pairwise disjoint subgroups of order 8. We show that \(G\) must be either elementary abelian or isomorphic to a group \(G_ 0\) of nilpotence class two. \(G_ 0\) is the semidirect product \(\langle t\rangle V\), where \(V\) is elementary abelian of order 32 and \(t\) is an involution which acts on \(V\) with two nontrivial Jordan blocks.
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 3698
zbMATH Keywords: Hadamard difference sets
zbMATH Keywords: elementary abelian
zbMATH Keywords: Jordan blocks
MaRDI profile type: Publication
full work available at URL: 0097-3165(89)90087-3
OpenAlex ID: W1964992566
cites work: Q4115154
cites work: Variations on a scheme of McFarland for noncyclic difference sets
cites work: Groups with a large number of large disjoint subgroups
cites work: Q5577154
cites work: Two addition theorems
cites work: Q3965191
description: scientific article; zbMATH DE number 3698