ON FINITE GALOIS STABLE SUBGROUPS OF GLn IN SOME RELATIVE EXTENSIONS OF NUMBER FIELDS

DOI10.1142/S0219498809003400zbMath1184.20042MaRDI QIDQ3638686

Dmitry Malinin, Hans-Jochen Bartels

Publication date: 28 October 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

integral representationsfinite arithmetic groupsGalois stable subgroups

Mathematics Subject Classification ID

Integral representations (11S23) Integral representations of finite groups (20C10) Linear algebraic groups over global fields and their integers (20G30) Class numbers, class groups, discriminants (11R29) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Classical groups (11E57)

Related Items (2)

On finite nilpotent matrix groups over integral domains. ⋮ Representations of some groups and Galois stability.

Cites Work

• Unnamed Item
• Unnamed Item
• There are no abelian varieties over \(\mathbb Z\).
• Finite arithmetic subgroups of \(GL_n\)
• Abelian varieties over cyclotomic fields with good reduction everywhere
• GALOIS MODULI OF PERIOD $p$ GROUP SCHEMES OVER A RING OF WITT VECTORS
• Finite arithmetic subgroups of \(\text{GL}_ n\). II.

This page was built for publication: ON FINITE GALOIS STABLE SUBGROUPS OF GL_n IN SOME RELATIVE EXTENSIONS OF NUMBER FIELDS