On the minimal index and indices of the form 2^a 3^b in a parametric family of bicyclic biquadratic felds (CROSBI ID 588202)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | domaća recenzija
Podaci o odgovornosti
Jadrijević, Borka
engleski
On the minimal index and indices of the form 2^a 3^b in a parametric family of bicyclic biquadratic felds
Let c >= 3 be integer such that c ; c - 2 ; c + 4 are square-free integers relatively prime in pairs and let Lc = Q(sqrt((c - 2) c), sqrt((c + 4) c)) be a family of bicyclic biquadratic fields. We find minimal index mu(Lc) and determine all elements with minimal index in Lc: Furthermore, we give some results concerning elements alpha with index of the form mu(alpha) = 2^a 3^b. Precisely, we show that for every integer K >= 12 if c >= K-1 and if alpha is an element with index mu(alpha) = 2^a 3^b <= K, then alpha is an element with minimal index mu(alpha) = mu(Lc) = 12. We also show that for every integer C0 >= 3 we can find effectively computable integers M (C0) and N (C0) such that in case c <= C0 there are no elements alpha with index of the form mu(alpha) = 2^a 3^b, where a > M (C0) or b > N (C0).
index form equations; minimal index; bicyclic biquadratic elds;
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
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Podaci o prilogu
41-41.
2012.
objavljeno
Podaci o matičnoj publikaciji
5th Croatian Mathematical Congress
Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja
Rijeka: Fakultet za matematiku Sveučilišta u Rijeci
037-0372781-2821
Podaci o skupu
5th Croatian Mathematical Congress
predavanje
18.06.2012-21.06.2012
Rijeka, Hrvatska