Minimal classes and maximal class in p-groups

被引：7

作者：

Longobardi, P

Maj, M

Mann, A

机构：

[1] Univ Naples, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

[2] Univ Salerno, Dipartimento Ingn Informaz & Matemat Applicata, I-84081 Baronissi, Salerno, Italy

[3] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1999年 / 110卷 / 1期

关键词：

Normal Subgroup; Conjugacy Class; Maximal Subgroup; Minimal Breadth; Maximal Class;

D O I：

10.1007/BF02808177

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The number of conjugacy classes of a given size (not 1) in a p-group is divisible by p - 1. We study groups in which the number of classes of minimal size is exactly p - 1, and characterise metabelian groups and groups of maximal class with this property.

引用

页码：93 / 102

页数：10

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