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Title: Finite nilpotent and metacyclic groups never violate the Ingleton inequality
Authors: Stancu, Radu
Oggier, Frederique
Keywords: DRNTU::Science::Mathematics
Issue Date: 2012
Source: 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.
Conference: International Symposium on Network Coding (2012 : Cambridge, US)
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.
DOI: 10.1109/NETCOD.2012.6261879
Schools: 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:].
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Conference Papers

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