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F-partitions of Cyclic Groups

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 An F-partition is a partition of an abelian group with the property that the linear space generated by the indicator functions of the subsets in the partition is invariant under Fourier transformation. In the present paper we study the special case of F-partitions over cyclic groups. We introduce the concept of multiplicative partitions and we show that for cyclic groups of prime orders any F-partition is necessarily multiplicative.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Linköping University, S-581 83 Linköping, Sweden, , , , , , SE

    Thomas Ericson

  2. Delft University of Technology, Faculty of Technical Mathematics and Informatics, P.O. Box 5031, NL-2600 Delft, The Netherlands, , , , , , NL

    Juriaan Simonis

  3. University of Turku, Department of Mathematics, SF-20500 Turku 50, Finland, , , , , , FI

    Hannu Tarnanen

  4. Institute for Problems of Information Transmission, Bolshoy Karetnyi 19, GSP-4, Moscow, 101447, Russia, , , , , , RU

    Victor Zinoviev

Authors
  1. Thomas Ericson
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  2. Juriaan Simonis
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  3. Hannu Tarnanen
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  4. Victor Zinoviev
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Additional information

Received: October, 1996; revised version: March 17, 1997

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Ericson, T., Simonis, J., Tarnanen, H. et al. F-partitions of Cyclic Groups. AAECC 8, 387–393 (1997). https://doi.org/10.1007/s002000050076

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  • DOI: https://doi.org/10.1007/s002000050076