On the Set of the Numbers of Conjugates of Noncyclic Proper Subgroups of Finite Groups
نویسندگان
چکیده
Let G be a finite group and N C (G) the set of the numbers of conjugates of noncyclic proper subgroups of G. We prove that (1) if |N C G)| ≤ 2, then G is solvable, and (2) G is a nonsolvable group with |N C (G)| = 3 if and only if G≅PSL(2,5) or PSL(2,13) or SL(2,5) or SL(2,13).
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ورودعنوان ژورنال:
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013