The shift action on 2-cocycles. (English) Zbl 1043.20026

This paper is a very interesting one at least for the applications concerning representation theory, combinatorial design and quantum dynamics. Introducing shift actions from a group \(G\) on the group of 2-cocycles from \(G \) to an Abelian group \(C\), there are obtained stronger equivalence relations than does cohomology. In the last section there is also given a very nice application to digital signal design.


20J06 Cohomology of groups
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
94A60 Cryptography
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