中文

典型群的2-覆盖

群论 2011-02-04 v1

摘要

在本文中,我们证明:若n5n\geq 5GG是群SUn(q)SU_n(q)(其中n6n\neq 6)、Sp2n(q)Sp_{2n}(q)qq为奇数)、Ω2n+1(q)\Omega_{2n+1}(q)Ω2n±(q)\Omega_{2n}^{\pm}(q)中的任意一个,则GG和单群\barG=G/Z(G)\barG=G/Z(G)不可2-覆盖。此外,当qq为偶数时,Sp2n(q)Sp_{2n}(q)的唯一2-覆盖的分量为O2n(q)O^-_{2n}(q)O2n+(q)O^{+}_{2n}(q)

关键词

引用

@article{arxiv.1102.0660,
  title  = {2-Coverings of classical groups},
  author = {D. Bubboloni and M. S. Lucido and T. Weigel},
  journal= {arXiv preprint arXiv:1102.0660},
  year   = {2011}
}