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Characterising bimodal collections of sets in finite groups
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dc.contributor.author | Huczynska, Sophie | |
dc.contributor.author | Paterson, Maura | |
dc.date.accessioned | 2020-07-08T23:34:10Z | |
dc.date.available | 2020-07-08T23:34:10Z | |
dc.date.issued | 2019-07-09 | |
dc.identifier | 259266617 | |
dc.identifier | fc219681-8743-44e7-a6ce-2e780d7d433b | |
dc.identifier | 85068828316 | |
dc.identifier | 000496660500003 | |
dc.identifier.citation | Huczynska , S & Paterson , M 2019 , ' Characterising bimodal collections of sets in finite groups ' , Archiv der Mathematik , vol. First Online . https://doi.org/10.1007/s00013-019-01361-2 | en |
dc.identifier.issn | 0003-889X | |
dc.identifier.other | ORCID: /0000-0002-0626-7932/work/74117802 | |
dc.identifier.uri | https://hdl.handle.net/10023/20222 | |
dc.description.abstract | A collection of disjoint subsets A = {A1, A2, ..., Am} of a finite abelian group has the bimodal property if each non-zero group element δ either never occurs as a difference between an element of Ai and an element of Aj with j ≠ i, or else for every element ai in Ai there is an element aj ∈ Aj for some j ≠ i with ai - aj = δ. This property arises in familiar situations, such as cosets of a fixed subgroup or in a group partition, and has applications to the construction of optimal algebraic manipulation detection codes. In this paper, we obtain a structural characterisation for bimodal collections of sets. | |
dc.format.extent | 10 | |
dc.format.extent | 270812 | |
dc.language.iso | eng | |
dc.relation.ispartof | Archiv der Mathematik | en |
dc.subject | Finite groups | en |
dc.subject | Disjoint subsets | en |
dc.subject | External differences | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Characterising bimodal collections of sets in finite groups | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1007/s00013-019-01361-2 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2020-07-09 |
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