On representing finite lattices as intervals in subgroup lattices of finite groups

被引：18

作者：

Baddeley, R ^{[1
]}

Lucchini, A ^{[1
]}

机构：

[1] UNIV BRESCIA,DIPARTIMENTO ELETTR AUTOMAZ,I-25123 BRESCIA,ITALY

来源：

JOURNAL OF ALGEBRA | 1997年 / 196卷 / 01期

关键词：

D O I：

10.1006/jabr.1997.7069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-n be the lattice of length 2 with n greater than or equal to 1 atoms. It is an open problem to decide whether or not every such lattice (or indeed whether or not every finite lattice) can be represented as an interval in the subgroup lattice of some finite group. We complete the work of the second author, Lucchini, by reducing this problem to a series of questions concerning the finite non-abelian simple groups. (C) 1997 Academic Press.

引用

页码：1 / 100

页数：100

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