Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/145710
Title: Construction and classification of group invariant Butson Hadamard matrices
Authors: Wong, Dai Quan
Keywords: Science::Mathematics::Algebra
Issue Date: 2020
Publisher: Nanyang Technological University
Source: Wong, D. Q. (2020). Construction and classification of group invariant Butson Hadamard matrices. Doctoral thesis, Nanyang Technological University, Singapore.
Abstract: The purpose of this dissertation is to introduce the reader to the study of group invariant Butson Hadamard matrices and to present our contribution in this area. Our focus is on abelian p-groups since one can obtain group invariant Butson Hadamard matrices for larger groups by using Kronecker products. The main areas of study we have identified are: • The existence and the construction of group invariant Butson Hadamard matrices • The non-existence and the necessary conditions for their existence • The classification of group invariant Butson Hadamard matrices Our contribution to this study is the outline of five types of constructions of group invariant Butson Hadamard matrices, a new necessary condition for existence under the self-conjugacy assumption and the classification of Butson Hadamard matrices which are invariant under the groups ℤₚ × ℤₚ and ℤₚ₂ × ℤₚ × ℤₚ.
URI: https://hdl.handle.net/10356/145710
DOI: 10.32657/10356/145710
Rights: This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Theses

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