Finite nilpotent and metacyclic groups never violate the Ingleton inequality
Date of Issue2012
International Symposium on Network Coding (2012 : Cambridge, US)
School of Physical and Mathematical Sciences
In , 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.
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