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SM ISO690:2012 BABAI, 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 | |||||
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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