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Title: A note on quasi-uniform distributions and Abelian group representability
Authors: Thomas, Eldho K.
Oggier, Frederique
Keywords: DRNTU::Science::Mathematics
Issue Date: 2012
Source: Thomas, E. K., & Oggier, F. (2012). A note on quasi-uniform distributions and Abelian group representability. 2012 International Conference on Signal Processing and Communications (SPCOM), pp.1-5.
Conference: International Conference on Signal Processing and Communications (2012 : Bangalore, India)
Abstract: In this note, we study quasi-uniform distributions that are obtained from finite groups. We derive a few simple properties of entropic vectors obtained from Abelian groups, and consider the problem of determining when non-Abelian groups can provide richer entropic vectors than Abelian groups. We focus in particular on the family of dihedral groups D2n, and show that when 2n is not a power of 2, the induced entropic vectors for two variables cannot be obtained from Abelian groups, contrarily to the case of D8 which does not provide more than Abelian groups.
DOI: 10.1109/SPCOM.2012.6290020
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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