Finite p-groups not characteristic in any p-group in which they are properly contained

被引：0

作者：

Wilkens, Bettina ^{[1
]}

机构：

[1] Univ Halle Wittenberg, Inst Algebra & Geometrie, Fachbereich Math & Informat, D-06099 Halle, Germany

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2008年 / 166卷 / 01期

关键词：

Maximal Subgroup; Semidirect Product; Wreath Product; Permutation Representation; Isomorphic Copy;

D O I：

10.1007/s11856-008-1021-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Answering a question raised by Y. Berkovich, we give examples of finite p-groups G with the property that the only finite p-group K with G char K, is G itself. We also prove a theorem stating that every finite p-group is contained in such a group G.

引用

页码：97 / 112

页数：16

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