On the Finite Subgroups of GL (3, Z)-Reference-Cited by-同舟云学术

On the Finite Subgroups of GL (3, Z)

Published:1971-02 Issue: Volume:41 Page:169-209
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Tahara Ken-Ichi

Abstract

We should like to study three dimensional algebraic tori in the same way as Voskresenskiĭ does in [14] and [15]. To do so, it is necessary to determine all finite subgroups of GL(3,Z) up to conjugacy.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

1. Voskresenskiĭ V.E. , On two-dimensional algebraic tori II, Math. USSR-Izvestija, 1 (1967), p. 691–696.

2. Serre J.P. , Lie algebras and Lie groups, Benjamin, New York, Amsterdam, 1965.

3. Matuljauskas A. , Integral representations of a cyclic group of order 6 (in Russian), Litovsk. Mat. Sb., 2 (1962), p. 149–188.

4. Nazarova L.A. and Roiter A.V. , Integral representations of the symmetric group of third degree (in Russian), Ukrain. Mat. J., 14 (1962), p. 271–288.

5. Herzig D. , The structure of Frobenius algebraic groups, Amer. J. Math., 83 (1961), p. 421–431.

Cited by 38 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Zeta function of some Kummer Calabi-Yau 3-folds;manuscripta mathematica;2023-12-07

2. Counting 3-dimensional algebraic tori over Q;Journal of Number Theory;2023-08

3. Toric G-solid Fano threefolds;Selecta Mathematica;2023-02-02

4. Toric G-Fano threefolds;International Journal of Mathematics;2022-04

5. SL(3, ℤ) Modularity and New Cardy limits of the $$ \mathcal{N} $$ = 4 superconformal index;Journal of High Energy Physics;2021-11