Title data
Kurz, Sascha:
Heden's bound on the tail of a vector space partition.
Bayreuth
,
2018
.  5 S.
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Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract
A vector space partition of GF(q)^v is a collection of subspaces such that every nonzero vector is contained in a unique element. We improve a lower bound of Heden, in a subcase, on the number of elements of the smallest occurring dimension in a vector space partition. To this end, we introduce the notion of q^rdivisible sets of ksubspaces in GF(q)^v. By geometric arguments we obtain nonexistence results for these objects, which then imply the improved result of Heden.
Further data
Item Type:  Preprint, postprint 

Keywords:  Galois geometry; vector space partitions 
Subject classification:  Mathematics Subject Classification Code: 51E23 (05B40) 
DDC Subjects:  500 Science > 510 Mathematics 
Institutions of the University:  Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science 
Language:  English 
Originates at UBT:  Yes 
URN:  urn:nbn:de:bvb:703epub37163 
Date Deposited:  11 May 2018 07:10 
Last Modified:  18 Mar 2019 08:48 
URI:  https://epub.unibayreuth.de/id/eprint/3716 
Available Versions of this Item

Heden's bound on the tail of a vector space partition. (deposited 07 Aug 2017 09:36)
 Heden's bound on the tail of a vector space partition. (deposited 11 May 2018 07:10) [Currently Displayed]