EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER p FOR FINITE p-GROUPS
نویسنده
چکیده
In this paper we study the longstanding conjecture of whether there exists a noninner automorphism of order p for a finite non-abelian pgroup. Among other results, we prove that if G is a finite non-abelian pgroup, p is odd and G/Z(G) is powerful then G has a noninner automorphism of order p. To prove the latter result we show that the Tate cohomology Hn(G/N, Z(N)) 6= 0 for all n ≥ 0, where G is a finite p-group, p is odd, G/Z(G) is p-central (i.e., elements of order p are central) and N ⊳ G with G/N non-cyclic.
منابع مشابه
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تاریخ انتشار 2009