Finite 2-groups all of whose nonmetacyclic subgroups are generated by involutions

被引：1

作者：

Bozikov, Zdravka ^{[1
]}

Janko, Zvonimir ^{[2
]}

机构：

[1] Univ Split, Fac Civil Engn & Architecture, Split 21000, Croatia

[2] Univ Heidelberg, Math Inst, D-69120 Heidelberg, Germany

来源：

ARCHIV DER MATHEMATIK | 2008年 / 90卷 / 01期

关键词：

finite 2-groups of maximal class; minimal nonabelian p-groups; metacyclic p-groups; central products; Frattini subgroup;

D O I：

10.1007/s00013-007-2375-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify here nonmetacyclic finite 2-groups all of whose nonmetacyclic subgroups are generated by involutions (Theorem 1.1). This solves problem Nr. 710 for p=2 stated by Y. Berkovich in [1]. For p > 2 the corresponding problem is open.

引用

页码：14 / 17

页数：4

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