Title : ( Planar infinite groups )
Authors: mehdi rajabian , Mohammad Farrokhi Derakhshandeh Ghouchan , Ahmad Erfanian ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
Abstract. 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.
Keywords
Planar infinite groups
@article{paperid:1047156,
author = {Rajabian, Mehdi and Farrokhi Derakhshandeh Ghouchan, Mohammad and Erfanian, Ahmad},
title = {Planar infinite groups},
journal = {Journal of Group Theory},
year = {2014},
volume = {17},
number = {5},
month = {October},
issn = {1433-5883},
pages = {897--909},
numpages = {12},
keywords = {Planar infinite groups},
}
%0 Journal Article
%T Planar infinite groups
%A Rajabian, Mehdi
%A Farrokhi Derakhshandeh Ghouchan, Mohammad
%A Erfanian, Ahmad
%J Journal of Group Theory
%@ 1433-5883
%D 2014
