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<p>Let <i>p</i> be a prime and let <i>h</i> be a positive integer such that <i>p</i> is semiprimitive modulo <i>h</i>. We classify all Butson Hadamard matrices whose entries are complex <i>h</i>th roots of unity and which are invariant under the elementary abelian group of order <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(p^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>p</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>.</p>

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Classification of Butson matrices invariant under elementary abelian groups of order \(p^2\)

  • 期刊论文

  • 发表日期：

    2026年1月6日

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  • Tai Do Duc,
  • Bernhard Schmidt

摘要

Let p be a prime and let h be a positive integer such that p is semiprimitive modulo h. We classify all Butson Hadamard matrices whose entries are complex hth roots of unity and which are invariant under the elementary abelian group of order \(p^2\) p 2 .