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Abstract <p>In this paper, the method of constructing exceptional coverings of finite groups by investigating lattices in Euclidean spaces is demonstrated. Namely, the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(4\)</EquationSource> <!--BMatMGU2570063Martirosov-m3--> </InlineEquation>-tuple cover of the sporadic Mathieu group <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(M_{22}\)</EquationSource> <!--BMatMGU2570063Martirosov-m4--> </InlineEquation> is constructed.</p>

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Quadruple Covering of Mathieu Group \(\boldsymbol{M_{22}}\)

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. K. Martirosov

摘要

Abstract

In this paper, the method of constructing exceptional coverings of finite groups by investigating lattices in Euclidean spaces is demonstrated. Namely, the \(4\) -tuple cover of the sporadic Mathieu group \(M_{22}\) is constructed.