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
كليدواژه :
Index of a subgroup , Maximal subgroup , Cayley theorem.
عنوان كنفرانس :
نهمين كنفرانس ملي نظريه گروههاي ايراني
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.
