Some results on the main supergraph of finite groups

dc.contributor.author	Asboei, A.K.
dc.contributor.author	Salehi, S.S.
dc.date.accessioned	2023-03-06T14:22:13Z
dc.date.available	2023-03-06T14:22:13Z
dc.date.issued	2020
dc.identifier.citation	Some results on the main supergraph of finite groups / A.K. Asboei, S.S. Salehi // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 172–178. — Бібліогр.: 17 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	DOI:10.12958/adm584
dc.identifier.other	2010 MSC: 20D08; 05C25.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188561
dc.description.abstract	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).	uk_UA
dc.description.sponsorship	The authors would like to thank the referee for his/her careful reading and useful suggestions which led us to improve the paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Some results on the main supergraph of finite groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA