On the inverse Galois problem for Hilbert p-class field towers with splitting condition.

发布时间:2025-10-28浏览次数:10



Title: On the inverse Galois problem for Hilbert p-class field towers with splitting condition.

Speaker: Karim SankaraNazi Boni University, Burkina Faso (Africa)

 

Time: Friday, October 31, 2025, 10:00--11:00

Venue: Mingde Building, Room 201-1 

 

Abstract: In this talk, we start by reviewing the inverse Galois problem in its classical form. We then discuss how this problem can be extended to the context of Hilbert p-class field towers. Finally, we present a recent result obtained in collaboration with Maire, in which we address the inverse Galois problem for Hilbert p-class field towers with splitting at a finite set S of prime ideals. This work generalizes a result previously established by Hajir, Maire and Ramakrishna.

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