The maximal orders of finite subgroups in $GL_{n}(\mathbf {Q})$

DOI10.1090/S0002-9939-97-04283-4zbMath0895.20039MaRDI QIDQ4372449

Shmuel Friedland

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

orthogonal groupscyclotomic extensionsAbelian normal subgroupsfinite subgroups of general linear groupsJordan numbersmaximal orders of finite subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (17)

Finite subgroups of arithmetic lattices in \(U (2,1)\) ⋮ Unnamed Item ⋮ Linnik's problem in fiber bundles over quadratic homogeneous varieties ⋮ Bottom of the length spectrum of arithmetic orbifolds ⋮ Lower bounds for the height in Galois extensions ⋮ Uniform boundedness of torsion subgroups of linear groups. ⋮ Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture ⋮ Small bound for birational automorphism groups of algebraic varieties (with an appendix by Yujiro Kawamata) ⋮ Growth conditions in infinitely generated groups. ⋮ Some consequences of Masser's counting theorem on elliptic curves ⋮ Conjugation of semisimple subgroups over real number fields of bounded degree ⋮ Typically bounding torsion ⋮ Systole and inradius of noncompact hyperbolic manifolds ⋮ Mumford-Tate and generalised Shafarevich conjectures ⋮ Bounds on orders of finite subgroups of \(\text{PGL}_n(K)\) ⋮ Nombre de classes des tores de multiplication complexe et bornes inférieures pour les orbites Galoisiennes de points spéciaux ⋮ A survey on large finite group actions on graphs, surfaces and 3-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• A note on the order of finite subgroups of \(\text{GL}(n,\mathbb{Z})\)
• Discrete groups of unitary isometries and balls in hyperbolic manifolds
• Post-classification version of Jordan's theorem on finite linear groups

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