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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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Title: Finite nilpotent and metacyclic groups never violate the Ingleton inequality
Author: Stancu, Radu; Oggier, Frederique
Copyright year: 2012
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.
Subject: DRNTU::Science::Mathematics.
Type: Conference Paper
Conference name: International Symposium on Network Coding (2012 : Cambridge, US)
School: School of Physical and Mathematical Sciences
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].
Version: Accepted version

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