<p>In this paper, a complete classification of 2-arc-transitive <i>N</i>-normal covers of <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathrm{\textbf{K}}_{2^n,2^n}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="bold">K</mi> <mrow> <msup> <mn>2</mn> <mi>n</mi> </msup> <mo>,</mo> <msup> <mn>2</mn> <mi>n</mi> </msup> </mrow> </msub> </math></EquationSource> </InlineEquation> is given, where <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(n\ge 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>n</mi> <mo>≥</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> and <i>N</i> is a cyclic group.</p>

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2-Arc-transitive cyclic covers of \(\mathrm{\textbf{K}}_{2^n,2^n}\)

  • Yuan-Dong Li,
  • István Kovács,
  • Jin-Xin Zhou

摘要

In this paper, a complete classification of 2-arc-transitive N-normal covers of \(\mathrm{\textbf{K}}_{2^n,2^n}\) K 2 n , 2 n is given, where \(n\ge 2\) n 2 and N is a cyclic group.