Planar infinite groups

被引：0

作者：

Rajabian, Mehdi ^{[1
]}

Farrokhi, Mohammad D. G. ^{[2
]}

Erfanian, Ahmad ^{[2
,3
]}

机构：

[1] Ferdowsi Univ Mashhad, Mashhad, Iran

[2] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran

[3] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Mashhad, Iran

来源：

JOURNAL OF GROUP THEORY | 2014年 / 17卷 / 05期

关键词：

SUBGROUP LATTICES; GRAPHS;

D O I：

10.1515/jgt-2014-0017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will determine all infinite 2-locally finite groups and all infinite 2-groups with planar subgroup graph, and show that infinite groups that satisfy the chain conditions and contain an involution do not have planar embeddings. We also determine all connected outer-planar groups and outer-planar groups satisfying the chain conditions. As a result, we obtain all planar groups that are direct products of connected groups.

引用

页码：897 / 909

页数：13

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