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512.54 (160) |
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SM ISO690:2012 ASADIAN, Bahareh. Structure of the finite groups with 4p elements of maximal order. In: Quasigroups and Related Systems, 2016, vol. 24, nr. 2(36), pp. 157-168. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 24, Numărul 2(36) / 2016 / ISSN 1561-2848 | ||||||
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CZU: 512.54 | ||||||
Pag. 157-168 | ||||||
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Rezumat | ||||||
Let G be a _nite group and p > 3 be a prime number. We determine the structure of the _nite group G with 4p elements of maximal order. In particular, we show that if G is a _nite group with 20 elements of maximal order, then G is a non-abelian 2-group of order 32 with exp(G) = 4, G _= C6 _ S3 or G _= S5, where Sn denotes the symmetric group of degree n, G _= C44 o (Cu _ Cl), where uj10 and lj2, G _= C25 o Cl or G _= C50 o Cl, where lj4. |
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Cuvinte-cheie Group, maximal order, Thompson's problem |
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