2025-02-24T07:31:28-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-188561%22&qt=morelikethis&rows=5
2025-02-24T07:31:28-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-188561%22&qt=morelikethis&rows=5
2025-02-24T07:31:28-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-24T07:31:28-05:00 DEBUG: Deserialized SOLR response
Some results on the main supergraph of finite groups

Some results on the main supergraph of finite groups

Let G be a finite group. The main supergraph S(G) is a graph with vertex set G in which two vertices x and y are adjacent if and only if o(x) | o(y) or o(y) | o(x). In this paper, we will show that G ≅ PSL(2, p) or PGL(2, p) if and only if S(G) ≅ S(PSL(2, p)) or S( PGL(2, p)), respectively. Also, we...

Full description

Saved in:
Bibliographic Details
Main Authors: Asboei, A.K., Salehi, S.S.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2020
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188561
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let G be a finite group. The main supergraph S(G) is a graph with vertex set G in which two vertices x and y are adjacent if and only if o(x) | o(y) or o(y) | o(x). In this paper, we will show that G ≅ PSL(2, p) or PGL(2, p) if and only if S(G) ≅ S(PSL(2, p)) or S( PGL(2, p)), respectively. Also, we will show that if M is a sporadic simple group, then G ≅ M if only if S(G) ≅ S(M).

Similar Items