Finite 2-groups all of whose nonabelian subgroups are generated with involutions

被引：2

作者：

Janko, Z ^{[1
]}

机构：

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

来源：

MATHEMATISCHE ZEITSCHRIFT | 2006年 / 253卷 / 02期

关键词：

finite; 2-groups; quasi-dihedral; minimal nonabelian p-groups;

D O I：

10.1007/s00209-005-0915-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we determine finite nonabelian 2-groups G all of whose nonabelian subgroups are generated by involutions and show that such groups must be quasi-dihedral. This solves the problem Nr. 1595 for p = 2 in [1].

引用

页码：419 / 420

页数：2