DocumentCode
771658
Title
On a relation between information inequalities and group theory
Author
Chan, Terence H. ; Yeung, Raymond W.
Author_Institution
Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, China
Volume
48
Issue
7
fYear
2002
fDate
7/1/2002 12:00:00 AM
Firstpage
1992
Lastpage
1995
Abstract
We establish a one-to-one correspondence between information inequalities and group inequalities. The major implication of our result is that we can prove information inequalities by proving the corresponding group inequalities, and vice versa. By giving a group-theoretic proof for all Shannon-type inequalities, we suggest that new inequalities could be discovered by making use of the rich set of tools in group theory. On the other hand, via a non-Shannon-type information inequality discovered by Zhang and Yeung (1997), we obtain a new inequality in group theory whose meaning is yet to be understood
Keywords
group theory; information theory; Shannon-type inequalities; group inequalities; group theory; information inequalities; information theory; nonShannon-type information inequality; Channel coding; Codes; Cramer-Rao bounds; Entropy; Helium; Information theory; Mutual information; Random variables; Vectors;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2002.1013138
Filename
1013138
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