سال انتشار: ۱۳۸۶

محل انتشار: سی و هشتمین کنفرانس ریاضی ایران

تعداد صفحات: ۱

نویسنده(ها):

M MOFIDY AHMEDY – Department of Mathematics, Institute For Advanced Studies In Basic Science, Zanjan, Iran
H USEFI – Department of Mathematics, University of Western Ontario, London, Ontario, Canada

چکیده:

We say that a finite group G is a DN-group if for each subgroup H of G,H’ ≤G and we say that a finite group G is a minimal non-DN-group if G is not DN-group but each proper subgroup of G is a DN-group. In this paper we prove that if G is a simple minimal non-DN-group then G is isomorphic to PSL(2,pn), for appropriate p,n. By this, we obtain a classification of nonsolvable minimal non-DN-groups.