Class Number Parity of a Compositum of Five Quadratic Fields
| Authors | |
|---|---|
| Year of publication | 2002 |
| Type | Article in Periodical |
| Magazine / Source | Acta Math. et Informatica Univ. Ostraviensis |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | class number; cyclotomic unit; crossed homomorphism |
| Description | 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 $Q{\sqrt p,\sqrt q,\sqrt r}$. |
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