Covering groups with subgroups

被引：20

作者：

Bryce, RA

Fedri, V

Serena, L

机构：

[1] AUSTRALIAN NATL UNIV,SCH MATH SCI,CANBERRA,ACT 0200,AUSTRALIA

[2] UNIV FLORENCE,DIPARTIMENTO MATEMAT U DINI,I-50134 FLORENCE,ITALY

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1997年 / 55卷 / 03期

关键词：

D O I：

10.1017/S0004972700034109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group is covered by a collection of subgroups if it is the union of the collection. The intersection of an irredundant cover of n subgroups is known to have index bounded by a function of n, though in general the precise bound is not known. Here we confirm a claim of Tompkinson that the correct bound is 16 when n is 5. The proof depends on determining all the 'minimal' groups with an irredundant cover of five maximal subgroups.

引用

页码：469 / 476

页数：8