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Finite nilpotent and metacyclic groups never violate the Ingleton inequality

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Finite nilpotent and metacyclic groups never violate the Ingleton inequality

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dc.contributor.author Stancu, Radu
dc.contributor.author Oggier, Frederique
dc.date.accessioned 2012-08-22T04:11:03Z
dc.date.available 2012-08-22T04:11:03Z
dc.date.copyright 2012
dc.date.issued 2012-08-22
dc.identifier.citation Stancu, R., & Oggier, F. (2012). Finite nilpotent and metacyclic groups never violate the Ingleton inequality. 2012 International Symposium on Network Coding (NetCod), pp.25- 30.
dc.identifier.uri http://hdl.handle.net/10220/8415
dc.description.abstract In [5], Mao and Hassibi started the study of finite groups that violate the Ingleton inequality. They found through computer search that the smallest group that does violate it is the symmetric group of order 120. We give a general condition that proves that a group does not violate the Ingleton inequality, and consequently deduce that finite nilpotent and metacyclic groups never violate the inequality. In particular, out of the groups of order up to 120, we give a proof that about 100 orders cannot provide groups which violate the Ingleton inequality.
dc.language.iso en
dc.rights © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [DOI: http://dx.doi.org/10.1109/NETCOD.2012.6261879].
dc.subject DRNTU::Science::Mathematics.
dc.title Finite nilpotent and metacyclic groups never violate the Ingleton inequality
dc.type Conference Paper
dc.contributor.conference International Symposium on Network Coding (2012 : Cambridge, US)
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.doi http://dx.doi.org/10.1109/NETCOD.2012.6261879
dc.description.version Accepted version
dc.identifier.rims 164706

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