Adapted Diameters and the Efficient Computation of Fourier Transforms on Finite Groups

@inproceedings{Maslen1995AdaptedDA,
  title={Adapted Diameters and the Efficient Computation of Fourier Transforms on Finite Groups},
  author={David Keith Maslen and Daniel N. Rockmore},
  booktitle={SODA},
  year={1995}
}
This paper introduces new techniques for the efficient computation of the Discrete Fourier Transform (DFT) for a finite group G and in so doing, relates the complexity of a finite group to its adapted diameter, relative to a given generating set and chain of subgroups. Consequently, we are able to show, for the first time, that the complexity of the DFT of a finite group is intimately related to group structure and thereby begin to link two major areas of research in computational group theory… CONTINUE READING