Generalized iterated wreath products of cyclic groups and rooted trees correspondence

DOI10.1007/978-3-319-98684-5_2zbMATH Open1544.20015MaRDI QIDQ6599592

Angela Y. Wu, Mee Seong Im

Publication date: 6 September 2024

zbMATH Keywords

fast Fourier transformscyclic groupsirreducible representationsrooted treesiterated wreath productsBratteli diagram

Mathematics Subject Classification ID

Trees (05C05) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Numerical methods for discrete and fast Fourier transforms (65T50) Extensions, wreath products, and other compositions of groups (20E22) Group actions on combinatorial structures (05E18)

Cites Work

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• Rooted trees and iterated wreath products of cyclic groups
• Fast Fourier analysis for abelian group extensions
• Clifford theory and applications.
• A wreath product group approach to signal and image processing. I: Multiresolution analysis
• A wreath product group approach to signal and image processing. II: Convolution, correlation, and applications
• Average running time of the fast Fourier transform
• An Algorithm for the Machine Calculation of Complex Fourier Series

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