A New Characterization of PSL(2, q) for Some q
Let G be a finite group and let π e (G) be the set of orders of elements from G. Let k ∈ π e (G) and let m k be the number of elements of order k in G. We set nse (G) := {m k | k ∈ π e (G)}. It is proved that PSL(2, q) are uniquely determined by nse (PSL(2, q)), where q ∈ {5, 7, 8, 9, 11, 13}. As th...
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Інститут математики НАН України
2015
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| Cite this: | A New Characterization of PSL(2, q) for Some q / A.K. Asboei, S.S.S. Amiri, A. Iranmanesh // Український математичний журнал. — 2015. — Т. 67, № 9. — С. 1155–1162. — Бібліогр.: 14 назв. — англ. |
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oai:nasplib.isofts.kiev.ua:123456789-1658552025-02-23T17:39:02Z A New Characterization of PSL(2, q) for Some q Нова характеристика PSL(2,q) для деякого q Asboei, A.K. Amiri, S.S.S. Iranmanesh, A. Статті Let G be a finite group and let π e (G) be the set of orders of elements from G. Let k ∈ π e (G) and let m k be the number of elements of order k in G. We set nse (G) := {m k | k ∈ π e (G)}. It is proved that PSL(2, q) are uniquely determined by nse (PSL(2, q)), where q ∈ {5, 7, 8, 9, 11, 13}. As the main result of the paper, we prove that if G is a group such that nse (G) = nse (PSL(2, q)), where q ∈ {16, 17, 19, 23}, then G ≅ PSL(2, q). Нехай G — скінченна група, а πe(G) — множина порядків елемента з G. Нехай також k∈πe(G), а mk — число елементів порядку k в G. Покладемо nse (G):={mk|k∈πe(G)}. Доведено, що PSL(2,q) однозначно визначаються nse (PSL(2,q)), де q∈{5,7,8,9,11,13}. Основним результатом роботи є доведення того факту, що якщо G є групою, для якої nse (G)=nse(PSL(2,q)), де q∈16,17,19,23, то G≅PSL(2,q). Partial support by the Center of Excellence of Algebraic Hyper structures and its Applications of Tarbiat Modares University (CEAHA) is gratefully acknowledge by the third author 2015 Article A New Characterization of PSL(2, q) for Some q / A.K. Asboei, S.S.S. Amiri, A. Iranmanesh // Український математичний журнал. — 2015. — Т. 67, № 9. — С. 1155–1162. — Бібліогр.: 14 назв. — англ. 1027-3190 https://nasplib.isofts.kiev.ua/handle/123456789/165855 512.5 en Український математичний журнал application/pdf Інститут математики НАН України |
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Статті Статті |
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Статті Статті Asboei, A.K. Amiri, S.S.S. Iranmanesh, A. A New Characterization of PSL(2, q) for Some q Український математичний журнал |
| description |
Let G be a finite group and let π e (G) be the set of orders of elements from G. Let k ∈ π e (G) and let m k be the number of elements of order k in G. We set nse (G) := {m k | k ∈ π e (G)}. It is proved that PSL(2, q) are uniquely determined by nse (PSL(2, q)), where q ∈ {5, 7, 8, 9, 11, 13}. As the main result of the paper, we prove that if G is a group such that nse (G) = nse (PSL(2, q)), where q ∈ {16, 17, 19, 23}, then G ≅ PSL(2, q). |
| format |
Article |
| author |
Asboei, A.K. Amiri, S.S.S. Iranmanesh, A. |
| author_facet |
Asboei, A.K. Amiri, S.S.S. Iranmanesh, A. |
| author_sort |
Asboei, A.K. |
| title |
A New Characterization of PSL(2, q) for Some q |
| title_short |
A New Characterization of PSL(2, q) for Some q |
| title_full |
A New Characterization of PSL(2, q) for Some q |
| title_fullStr |
A New Characterization of PSL(2, q) for Some q |
| title_full_unstemmed |
A New Characterization of PSL(2, q) for Some q |
| title_sort |
new characterization of psl(2, q) for some q |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| topic_facet |
Статті |
| citation_txt |
A New Characterization of PSL(2, q) for Some q / A.K. Asboei, S.S.S. Amiri, A. Iranmanesh // Український математичний журнал. — 2015. — Т. 67, № 9. — С. 1155–1162. — Бібліогр.: 14 назв. — англ. |
| series |
Український математичний журнал |
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2025-07-22T04:24:41Z |
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