Title : ( PLANAR INFINITE GROUPS )
Authors: Ahmad Erfanian , Mohammad Farrokhi Derakhshandeh Ghouchan , mehdi rajabian ,
Full TextAbstract
We will determine all infi nite 2-locally nite groups with planar subgroup graph as well as infi nite 2-groups and infi nite groups satisfying the chain conditions containing an involution. Also, all connected outer-planar groups and outer-planar groups satisfying the chain conditions are presented. As a result, all planar groups which are direct product of connected groups are obtained.
Keywords
, Planar groups, outer planar, in finite group, locally fi nite, chain condition.
@inproceedings{paperid:1047238,
author = {Erfanian, Ahmad and Farrokhi Derakhshandeh Ghouchan, Mohammad and Rajabian, Mehdi},
title = {PLANAR INFINITE GROUPS},
booktitle = {هفتمین همایش ترکیبات جبری ایران},
year = {2014},
location = {IRAN},
keywords = {Planar groups; outer planar; in finite group; locally fi nite;
chain condition.},
}
%0 Conference Proceedings
%T PLANAR INFINITE GROUPS
%A Erfanian, Ahmad
%A Farrokhi Derakhshandeh Ghouchan, Mohammad
%A Rajabian, Mehdi
%J هفتمین همایش ترکیبات جبری ایران
%D 2014
