JournalsprimsVol. 43, No. 4pp. 1111–1123

A Note on Embeddings of <em>S</em><sub>4</sub> and <em>A</em><sub>5</sub> into the Two-dimensional Cremona Group and Versal Galois Covers

  • Shinzo Bannai

    Tokyo Metropolitan University, Japan
  • Hiro-o Tokunaga

    Tokyo Metropolitan University, Japan
A Note on Embeddings of <em>S</em><sub>4</sub> and <em>A</em><sub>5</sub> into the Two-dimensional Cremona Group and Versal Galois Covers cover

Abstract

In this article, we prove that two versal Galois covers for _S_4 and _A_5 introduced in [17], [18] and [19] are birationally distinct to each other. As a corollary, we obtain two non-conjugate embeddings of _S_4 and _A_5 into Cr2 (ℂ).

Cite this article

Shinzo Bannai, Hiro-o Tokunaga, A Note on Embeddings of <em>S</em><sub>4</sub> and <em>A</em><sub>5</sub> into the Two-dimensional Cremona Group and Versal Galois Covers. Publ. Res. Inst. Math. Sci. 43 (2007), no. 4, pp. 1111–1123

DOI 10.2977/PRIMS/1201012381