ALGEBRA AND NUMBER THEORY

Unramified Galois extensions and subgroups of $GL_n$

D. A. Malinin

Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus

Abstract: We consider the natural action of Galois groups of unramified Galois extensions of number fields on finite Galois stable subgroups of $GL_n$.

Keywords: unramified Galois extensions, Galois action, Galois stable finite subgroups of $GL_n$.

UDC: 511.2

Received: 14.01.2025
Revised: 27.01.2025
Accepted: 23.05.2025