A note on the order of finite subgroups of \(\text{GL}(n,\mathbb{Z})\)

DOI10.1007/BF01198081zbMath0818.20063OpenAlexW2033572046MaRDI QIDQ1805511

Ki-Seng Tan, Daniel N. Rockmore

Publication date: 14 August 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198081

zbMATH Keywords

upper bound\(\text{GL}(n,\mathbb{Z})\)size of finite subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic results on counting functions for algebraic and topological structures (11N45) Other matrix groups over rings (20H25)

Related Items (3)

Finitely Generated Soluble Groups and Their Subgroups ⋮ Discrete groups of unitary isometries and balls in hyperbolic manifolds ⋮ The maximal orders of finite subgroups in $GL_{n}(\mathbf {Q})$

Cites Work

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• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Deciding finiteness for matrix groups over function fields
• On the orders of finite subgroups of \(\text{GL}(n,\mathbb{Z})\)
• Post-classification version of Jordan's theorem on finite linear groups

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