On the Schur multipliers of finite p-groups of given coclass

被引：0
|
作者：
Primož Moravec
机构：
[1] University of Ljubljana,Department of Mathematics
来源：
Israel Journal of Mathematics | 2011年 / 185卷
关键词：
Exact Sequence; Normal Subgroup; Maximal Class; Nilpotency Class; Prime Power Order;
D O I：
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学科分类号：
摘要：
In this paper we obtain bounds for the order and exponent of the Schur multiplier of a p-group of given coclass. These are further improved for p-groups of maximal class. In particular, we prove that if G is p-group of maximal class, then |H2(G, ℤ)| < |G| and expH2(G, ℤ) ≤ expG. The bound for the order can be improved asymptotically.
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页码：189 / 205
页数：16
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