Unramified alternating extensions of quadratic fields, by Kiran S. Kedlaya

Unramified alternating extensions of quadratic fields, by Kiran S. Kedlaya

We prove that there exist infinitely many real quadratic number fields admitting extensions of any prescribed degree and signature, whose normal closures have alternating Galois group. This extends results of Uchida, Yamamoto, and Yamamura.

unramified.dvi (14768 bytes) [2001 Mar 3]
unramified.dvi.gz (7064 bytes)
unramified.ps.gz (46740 bytes)

Kiran S. Kedlaya <kedlaya@math.berkeley.edu>