Packing and covering groups with subgroups

DOI10.1006/jabr.2000.8640zbMath0992.20017OpenAlexW2083823125MaRDI QIDQ5942792

Storme, L., Dieter Jungnickel

Publication date: 22 May 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8640

zbMATH Keywords

finite Abelian groupselementary Abelian groupscongruence coverslarge packingsline coverspartial spreadssmall coverstranslation netsunions of subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite abelian groups (20K01) Spreads and packing problems in finite geometry (51E23) Combinatorial aspects of packing and covering (05B40)

Related Items

Maximal rings associated with covers of Abelian groups., Groups with a Maximal Irredundant 6-Cover, Covering the symmetric groups with proper subgroups., Minimal Blocking Sets inPG(n, 2) and Covering Groups by Subgroups

Cites Work

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• Translation nets and fixed-point-free group automorphisms
• Maximal partial spreads and translation nets of small deficiency
• Partial spreads over \({\mathbb{Z}}_ q\)
• On small congruence covers
• Partial t-spreads and group constructible \((s,r,\mu)\)-nets
• Partial spreads in finite projective spaces and partial designs
• On t-covers in finite projective spaces
• Covers of \(\mathrm{PG}(3,q)\) and of finite generalized quadrangles
• On the size of a blocking set in \(\text{PG}(2,p)\)
• On smallest covers of finite projective spaces
• On the spectrum of the sizes of maximal partial line spreads in \(\mathrm{PG}(2n,q)\), \(n \geq 3\)
• Linear representations of projective planes in projective spaces
• Über Blockpläne mit transitiver Dilatationsgruppe
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Groups as Unions of Proper Subgroups
• Blocking Sets and Skew Subspaces of Projective Space
• A covering property of finite groups
• Groups as the union of proper subgroups.
• On $n$-Sum Groups.
• Endliche Gruppen I
• Groups Covered By Permutable Subsets