Nilpotency degree of integral cohomology classes of p-groups

被引：0

作者：

Minh, PA ^{[1
]}

机构：

[1] Univ Hue, Coll Sci, Dept Math, Hue, Vietnam

来源：

ARCHIV DER MATHEMATIK | 2002年 / 79卷 / 05期

关键词：

Prime Number; Cohomology Class; Proper Subgroup; Integral Cohomology; Nilpotence Degree;

D O I：

10.1007/PL00012454

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime number and let G be a p-group which is not elementary abelian. For every integral cohomology class of G which restricts trivially to all proper subgroups, we show that xi(p) = 0 if p > 2 or deg(xi) is even, and xi(3) = 0 if p = 2 and deg(xi) is odd. This result is applied to get an upper bound, which is \G\/p, for the nilpotence degrees of nilpotent integral cohomology classes of G.

引用

页码：328 / 334

页数：7

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