Technical Report CS0067

Title: Circulants Of Finite Groups
Authors: M.G. Karpovsky and E.A. Trachtenberg
Abstract: It is shown that properties of simple and composite circulant matrices may be generalized to circulants of finite groups. The closure porperties are investigated and simple methods for calculations of ranks, determinants, getter1iil ized inverses (MoorPenrose), eigenvalues and eigenvectors of such a circulants are suggested. Methods of abstract harmonic ananlysis are used to solve these problems.
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