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...
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| Дата: | 2020 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188561 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1885612023-03-07T01:26:47Z Some results on the main supergraph of finite groups Asboei, A.K. Salehi, S.S. 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). 2020 Article 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. 1726-3255 DOI:10.12958/adm584 2010 MSC: 20D08; 05C25. http://dspace.nbuv.gov.ua/handle/123456789/188561 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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). |
| format |
Article |
| author |
Asboei, A.K. Salehi, S.S. |
| spellingShingle |
Asboei, A.K. Salehi, S.S. Some results on the main supergraph of finite groups Algebra and Discrete Mathematics |
| author_facet |
Asboei, A.K. Salehi, S.S. |
| author_sort |
Asboei, A.K. |
| title |
Some results on the main supergraph of finite groups |
| title_short |
Some results on the main supergraph of finite groups |
| title_full |
Some results on the main supergraph of finite groups |
| title_fullStr |
Some results on the main supergraph of finite groups |
| title_full_unstemmed |
Some results on the main supergraph of finite groups |
| title_sort |
some results on the main supergraph of finite groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188561 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT asboeiak someresultsonthemainsupergraphoffinitegroups AT salehiss someresultsonthemainsupergraphoffinitegroups |
| first_indexed |
2023-10-18T23:08:38Z |
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2023-10-18T23:08:38Z |
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1796157361157570560 |