an:02056249
Zbl 1043.20026
Horadam, K. J.
The shift action on 2-cocycles
EN
J. Pure Appl. Algebra 188, No. 1-3, 127-143 (2004).
00103059
2004
j
20J06 20B25 94A60
actions on sets; 2-cocycles; group extensions; representation theory; shift actions; groups of automorphisms; fixed points; orbits; stabilisers; coboundaries; differentially uniform cocycles
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.
Viorel Mihai Gontineac (Ia??i)