• شماره ركورد كنفرانس
    4329
  • عنوان مقاله

    Some results on the minimum index of subgroups of a finite group

  • پديدآورندگان

    Dorbidid Hamid Reza hr dorbidi@ujiroft.ac.ir Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box 78671-61167, Jiroft, Iran

  • تعداد صفحه
    3
  • كليدواژه
    Index of a subgroup , Maximal subgroup , Cayley theorem.
  • سال انتشار
    1395
  • عنوان كنفرانس
    نهمين كنفرانس ملي نظريه گروههاي ايراني
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    In these paper we study a numerical invariant of finite groups. For a finite group G set mi(G)= min{[G : H] : H G}. We prove that mi(G) is a prime number if G is a solvable group. Also we prove that mi(G) ≠ 4 for any group G.
  • كشور
    ايران