Generalized circulants and class functions of finite groups
type: Item
instance of: scholarly article
title: Generalized circulants and class functions of finite groups
zbMATH Open document ID: 0622.15014
DOI: 10.1016/S0024-3795(87)90325-9
author: David Chillag
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: The regular representation of the ring of class functions of a finite group is used to construct families of matrices that enjoy many of the properties of circulant matrices. For different choices of finite groups one obtains different families of matrices, whose properties follow from the character theory of finite groups. Many properties of circulants and some of their generalizations appear as special cases of the properties of the above families. Some applications to character theory are also given.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 20C30
zbMATH DE Number: 4008583
zbMATH Keywords: regular representation
zbMATH Keywords: ring of class functions
zbMATH Keywords: finite group
zbMATH Keywords: circulant matrices
zbMATH Keywords: character theory of finite groups
reviewed by: Rodica Covaci
MaRDI profile type: Publication
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cites work: Q3943082
cites work: Matrices Derived from Finite Abelian Groups
cites work: Information about group matrices
cites work: Shorter Notes: Character Values of Finite Groups as Eigenvalues of Nonnegative Integer Matrices
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cites work: On the generalization of retrocirculant
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description: scientific article; zbMATH DE number 4008583