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@article{406856, author = {Bulant, Michal}, article_location = {Ostrava (CZ)}, article_number = {10}, keywords = {class number; cyclotomic unit; crossed homomorphism}, language = {eng}, issn = {1211-4774}, journal = {Acta Math. et Informatica Univ. Ostraviensis}, title = {Class Number Parity of a Compositum of Five Quadratic Fields}, volume = {2002}, year = {2002} }
TY - JOUR ID - 406856 AU - Bulant, Michal PY - 2002 TI - Class Number Parity of a Compositum of Five Quadratic Fields JF - Acta Math. et Informatica Univ. Ostraviensis VL - 2002 IS - 10 SP - 25 EP - 25 SN - 12114774 KW - class number KW - cyclotomic unit KW - crossed homomorphism N2 - In this paper we show that the class number of the field $Q(\sqrt p,\sqrt q,\sqrt r,\sqrt s,\sqrt t)$ is even for $p,q,r,s,t$ being different primes either equal to 2 or congruent to 1 modulo 4. This result is based on our previous results about the parity of the class number in the case of the field $Q{\sqrt p,\sqrt q,\sqrt r}$. ER -
BULANT, Michal. Class Number Parity of a Compositum of Five Quadratic Fields. \textit{Acta Math. et Informatica Univ. Ostraviensis}. Ostrava (CZ), 2002, vol.~2002, No~10, p.~25-34. ISSN~1211-4774.
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