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Ultima descărcare din IBN: 2024-04-30 07:17 |
Căutarea după subiecte similare conform CZU |
512.542+512.7 (1) |
Algebră (410) |
SM ISO690:2012 BABAI, Azam. Recognition by order and set of orders of vanishing elements of Cn(α α ), for some n and α. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 165-172. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848 | ||||||
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CZU: 512.542+512.7 | ||||||
Pag. 165-172 | ||||||
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Rezumat | ||||||
We say that an element g in a nite group G is a vanishing element of G if there exists an irreducible character 2 Irr(G) such that (g) = 0. The set of orders of vanishing elements of G is denoted by Vo(G). In [5], the authors put forward the following conjecture: If G is a nite group and M is a nite nonabelian simple group such that Vo(G) = Vo(M) and jGj = jMj, then G = M. In this paper we answer positive to this conjecture for a family of classical simple groups Cn(q), where n = 2m > 2, q = 2 and qn + 1 is a prime. |
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