Finite p-Groups, Entropy Vectors, and the Ingleton Inequality for Nilpotent Groups
Finite p-Groups, Entropy Vectors, and the Ingleton Inequality for Nilpotent Groups
In this paper, we study the capacity/entropy region of finite, directed, acyclic, multiple-sources, and multiple-sinks network by means of group theory and entropy vectors coming from groups. There is a one-to-one correspondence between the entropy vector of a collection of n random variables and a certain group-characterizable vector obtained from …