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| Ultima descărcare din IBN: 2022-10-27 04:27 |
| Căutarea după subiecte similare conform CZU |
| 512.542+519.1 (3) |
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| Analiză combinatorică. Teoria grafurilor (115) |
 SM ISO690:2012BABAI, Azam, KHATAMI, Maryam. NSE characterization of some Suzuki groups. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 1(41), pp. 15-24. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 27, Numărul 1(41) / 2019 / ISSN 1561-2848 | ||||||
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| CZU: 512.542+519.1 | ||||||
| MSC 2010: 20D06, 20D60, 20D15. | ||||||
| Pag. 15-24 | ||||||
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Let G be a group, and e(G) be the set of element orders of G. For k 2 e(G), the number of elements of G of order k is denoted by mk(G). Set nse(G) = fmk(G) j k 2 e(G)g. Let q = 22n+1, and p = q - 1 be a Mersenne prime. In this paper, we show that if G is a group such that nse(G) = nse(Sz(q)) and p 2 e(G) but p2 =2 e(G), then G = Sz(q) or G = Sz(q) o Z2n+1. |
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| Cuvinte-cheie Suzuki groups, set of number of elements of the same order, prime graph |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Babai, A.</dc:creator> <dc:creator>Khatami, M.</dc:creator> <dc:date>2019-07-01</dc:date> <dc:description xml:lang='en'><p>Let G be a group, and e(G) be the set of element orders of G. For k 2 e(G), the number of elements of G of order k is denoted by mk(G). Set nse(G) = fmk(G) j k 2 e(G)g. Let q = 22n+1, and p = q - 1 be a Mersenne prime. In this paper, we show that if G is a group such that nse(G) = nse(Sz(q)) and p 2 e(G) but p2 =2 e(G), then G = Sz(q) or G = Sz(q) o Z2n+1.</p></dc:description> <dc:source>Quasigroups and Related Systems 41 (1) 15-24</dc:source> <dc:subject>Suzuki groups</dc:subject> <dc:subject>set of number of elements of the same order</dc:subject> <dc:subject>prime graph</dc:subject> <dc:title>NSE characterization of some Suzuki groups</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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